Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=​

Answers

Answer 1

Answer:

x = 29, y = -63

Step-by-step explanation:

Solve the following system:

{4 y + 11 x - 67 = 0 | (equation 1)

{2 y + 5 x - 19 = 0 | (equation 2)

Express the system in standard form:

{11 x + 4 y = 67 | (equation 1)

v5 x + 2 y = 19 | (equation 2)

Subtract 5/11 × (equation 1) from equation 2:

{11 x + 4 y = 67 | (equation 1)

{0 x+(2 y)/11 = -126/11 | (equation 2)

Multiply equation 2 by 11/2:

{11 x + 4 y = 67 | (equation 1)

{0 x+y = -63 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{11 x+0 y = 319 | (equation 1)

{0 x+y = -63 | (equation 2)

Divide equation 1 by 11:

{x+0 y = 29 | (equation 1)

{0 x+y = -63 | (equation 2)

Collect results:

Answer: {x = 29, y = -63

Answer 2

Answer:

[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}[/tex]

Isolate y for 4y+11x-67=2:

[tex]y=\frac{-11x+69}{4}[/tex]

[tex]\mathrm{Substitute\:}y=\frac{-11x+69}{4}[/tex]

[tex]\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}[/tex]

Isolate x for [tex]\frac{9x+69}{4}-19=0:[/tex]

[tex]x=\frac{7}{9}[/tex]

[tex]\mathrm{For\:}y=\frac{-11x+69}{4}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{7}{9}[/tex]

[tex]y=\frac{-11\cdot \frac{7}{9}+69}{4}[/tex]

[tex]\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}[/tex]

[tex]y=\frac{136}{9}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]


Related Questions

Do I need to show work can some help me no links

Answers

Answer:

Your answer is 100

Step-by-step explanation:

Big rectangle:

10 x 8 = 80

Small square:

4 x 4 = 16

Triangle:

to find base of triangle add 8 and 4, after subtract it from 14, you get 2, the height is 4.

1/2(2 x 4)

1/2(8)

8 / 2 = 4

Add all area:

80 + 16 + 4 = 100

Solve this equation:
3y-4=6 -2y

Answers

Answer:

y = 2

Step-by-step explanation:

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]3y-4+4=6-2y+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3y=-2y+10[/tex]

[tex]\mathrm{Add\:}2y\mathrm{\:to\:both\:sides}[/tex]

[tex]3y+2y=-2y+10+2y[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=10[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

y = 2

~Learn with Lenvy~

Answer:

y = 2

Step-by-step explanation:

Rearrange terms

3y -4 = -2y +6

Add 4 to both side

3y -4 +4 = -2y +6+4

Simplify

3y = -2y + 10

Add 2y to both sides

3y +2y = -2y + 10 +2y

Simplify

5y = 10

Divide both sides by the same factor

5y/5 = 10/5

Simplify

y = 2

[RevyBreeze]

Given the sequence, 3, -9,27,-81 ...
What is the 15th term, assuming the pattern continues

Answers

Fist : 3

then

second : x (-3) = - 9

third : x (-3) = 27

x (-3) = - 81

the 15 term ?

first one = 3 x (-3)⁰

second one = 3 x (-3)¹

third one = 3 x (-3)²

so n one = 3 x (-3)ⁿ⁻¹

then the 15th one = 3 x (-3)¹⁴

growth: Word problems V84
Kenny lives in Greenpoint, where the cost of living increases by 8% every year. If Kenny
spends $50,700 this year, how much can he expect to spend 11 years from now to maintain
the same standard of living?
If necessary, round your answer to the nearest cent.

Answers

Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 50700(1 + 0.08)^t[/tex]

[tex]A(t) = 50700(1.08)^t[/tex]

After 11 years, the cost will be given by:

[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions
101 - 6+ 2. = 4(3x - 1) - 2
Terrence concluded that the equation has infinitely many solutions
Determine if Terrence's conclusion is correct that the equation has infinitely many solutions
Show each step of your work and justity your thinking
Enter your answer work, and justification in the box provided

Answers

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

How to determine the number of solutions?

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

https://brainly.com/question/7784687

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.

Answers

Answer:

C. Ankur found that the quotient of a positive number and a negative number is positive

Step-by-step explanation:

Given the expression that is solved by Ankur as shown;

[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]

We were told that Ankur got 3. Let us evaluate to see ankurs error.

change to improper fraction first

[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]

Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.

Hence the correct option is C

Answer:

Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor explanation:

so the answer is b

Write a formula for each situation.
There are sixty minutes, m, in an hour, h.

Answers

Hey there!

Equation: 60m = h

Goodluck and enjoy ^_^

Answer:

What is the rest of the question? There isn't enough information.

Step-by-step explanation:

I don’t have time to figure these one out for my own please help

Answers

Answer:

X=6

Step-by-step explanation:

5x+1=31

-1 from each side

5x=30

divide both sides by 5

x=6

m ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.

Which means :-

[tex]5x + 1 = 31[/tex]

[tex]5x = 31 - 1[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5} [/tex]

[tex]\color{red}x = 6[/tex]

Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .

Antwaun wants to purchase new photography equipment. He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend . If the original price of the lens he wanted is $599, what is the new price of the lens once it goes on sale ?

Answers

The new price of the lens once it goes on sale is $389.35.

Given that,

He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend

calculation:

[tex]= \$599 - (35\% of \$599)\\\\[/tex]

= $389.35

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Why does a square root function not have a domain of all real numbers

Answers

A square foot function does not have a domain of all real numbers since it can not take the square root of a negative number.

Calculate the distance point A (−3, 6, 2) and point B (4, −5, 6) are from the origin. Round to the nearest tenth.

Approximately how much farther from the origin is point B than point A?

1.8 units
2.4 units
3.2 units
4.0 units

Answers

Answer: 1.8 units

Step-by-step explanation:

Solve for X, round to the nearest tenth of a degree is necessary

Answers

Answer:

x= 35.2344 °

Step-by-step explanation:

Sides:

a = 2.6 m

b = 2.12368 m

c = 1.5 m

Angles:

A = 90 °

B = 54.7656 °

C = 35.2344 °

Other:

P = 6.22368 m

s = 3.11184 m

K = 1.59276 m2

r = 0.511838 m

R = 1.3 m

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

AAS is Angle, Angle, Side

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.

Use the Sum of Angles Rule to find the other angle, then

use The Law of Sines to solve for each of the other two sides.

Which of the following is a solution of the equation 6​y​ + 8 = 20?
1 ) 2
2) 14/3
3) 1/2
It can be more than one

Answers

Answer:

y=2

Step-by-step explanation:

6y+8=20

6y=12

y=12÷6

y=2

Hope this helps! :)

Move over the 8
6y = 20-8
6y=12
Y=12/6
Y=2

7 is what percent of 68

Answers

Answer:

10.30%

Step-by-step explanation:

7/68

x 100% = 10.2941176471%

A recipe calls for 375 g of flour for every 50 g of sugar. How much flour would you need if you used 125 g of sugar?

Answers

Answer:

Let's order the units because it can help us better;

Flour          375g            x

_______     _______ = ________ , next we solve for x;

Sugar         125g          50g

375/125 = x/50

x = 150

Solve the system:
4x – 3y = -21
X=-y-14

Answers

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

Answer:X=−4x/3−21

                 y=4x/3+7

Step-by-step explanation:

A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume

Answers

Check the picture below.

Can somebody please help me with this

Answers

Answer:

Check the image

Step-by-step explanation:

Hope this helps!

one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)

Answers

The shorter leg is [tex]\sqrt{5} \ cm[/tex]

Step-by-step explanation:

Let the base be x and the perpendicular be y.

It is given that, one leg of a right triangle is twice as long as the other leg,

y = 2x ...(1)

Hypotenuse, H = 5 cm

We can use Pythagoras theorem as follows :

[tex]H^2=B^2+P^2[/tex]

Putting all the values,

[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]

So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,

[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]

Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]

in your own words explain the steps you would need to take to find slope from the data table .​

Answers

Answer:

look at explanation, i got it on ed.

Step-by-step explanation:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Answer:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Step-by-step explanation:

Help me please........

Answers

Answer

4

~~~~~~~~~~~~~~~~~~~~~~~

Yeah it's 4 again double check!

help me plz idk why im very bad at mmath

Answers

Answer:

16.8

Step-by-step explanation:

Hope this helps

need help to answer this question please

Answers

Answer:

width = 3 cm

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

given A = 27 and length = 9 , then

9 × width = 27 ( divide both sides by 9 )

width = 3 cm

༒ Here's your Answer ~

❖ What we need to know before we solve ~

❝ Area of a rectangle is ❞ = ❝ Length × Width ❞

✠ Given terms :

➺ Area = 27 cm²

➺ length = 9 cm

✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~

[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]

[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]

[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]

[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]

✠ Therefore, The width of the rectangle = 3 cm

[tex]\qquad\qquad \qquad\huge \dag  \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

╭─━━━━━─╯Thanks╰─━━━━━─╮

a student believes...

Answers

Answer:

B

Step-by-step explanation:

This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.

Please let me know if you need further explanation.

Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.
Search instead for Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.​

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 - 2x = - 2x + 6 ← is in slope- intercept form

with slope m = - 2

y = - 10x - 4 ← is in slope- intercept form

eith y- intercept c = - 4

then

y = - 2x - 4 ← is the equation of the required line

Step-by-step explanation:

slope of y=6-2x=> -2 as it is in the form (y=mx+c )

y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)

so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):

that is y=mx+c

=> y= -2x-4=> 2x+y+4=0 is equation of required line

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 kg to 28 kg

Answers

Answer:

28/12

Step-by-step explanation:

Y+5.6=8.28
So what does y = to ?

Answers

2.68
Subtract 8.28 and 5.6 to get y then plug the answer in to check your work!

Answer:

Y = 2.68

Step-by-step explanation:

Y + 5.6 = 8.28

To find Y, you would need to subtract 5.6 from both sides:

Y + 5.6 - 5.6 = 8.28 - 5.6

So that would simplify to:

Y = 8.28 - 5.6

8.28 - 5.6 = 2.68

So Y = 2.68

Hope this helps :)

What is the solution?

Answers

Answer:

MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER

Step-by-step explanation:

Which of the following graphs represent a function?

Answers

Answer:

do u have a picture of it ?

Answer:

No graphs are visible to choose from...

Step-by-step explanation:

Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that

Answers

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]

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