substitution 2x - 3y + = -45, x + 6y = 45

Answers

Answer 1

Answer:

y = 9

x = -9

Step-by-step explanation:

2x - 3y + = -45

x + 6y = 45,   x = 45 - 6y

substitute for x:

2(45 - 6y) - 3y = -45

90 - 12y - 3y = -45

combine like terms:

90 - 15y = -45

15y = 135

divide both sides of the equation by 15:

y = 9

x = 45 - 6(9) = -9


Related Questions

They are 267 kids and 21 adults going on a field trip an equal number of people ride on each bus if there are 9 buses how many people will ride on each bus write and solve equations

Answers

32 people on each bus.

30 kids and 2 adults on each bus

Bárbara come la tercera parte de una caja de bombones. Su papá luego compra 7 bombones más y los pone en la caja. ¿Cómo se representa la cantidad de bombones que hay ahora en la caja?

Answers

Answer:

Bárbara come la tercera parte de una caja de bombones. Su papá luego compra 7 bombones más y los pone en la caja. ¿Cómo se representa la cantidad de bombones que hay ahora en la caja?

Step-by-step explanation:

Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?

Answers

18.99 is the discount

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

Answers

Answer:

2/9 yards

Step-by-step explanation:

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

From the above question:

27 equal strips of ribbon = 6 yards of spool

1 strip of ribbon = x yards

Cross Multiply

27 strips of ribbon × x yards = 6 yards × 1 strip of ribbon

x yards = 6/27

x yards = 2/9 yards

Therefore, for 1 strip of ribbon we need 2/9 yards

Plsplspls help 22 points and brainly ONLY ANSWER IF YK THE ANSWER TY!! :)

Answers

Answer:

(Infinitely), (No solution), (One solution), (One solution)

Step-by-step explanation:

1. 5x + 9 = 9 + 5x (Infinitely)

2. -4x + 8 = -4x - 8 [minus -4x from both equation, we get 8 = -8, which is impossible] (No solution)

3. x - 3 = 3 - x [2x = 6, x = 3] (One solution)

4. 3x + 7 = 7x + 3 [4x = 4, x = 1] (One solution)

If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?

Answers

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]

3x² - 12x + 8 when x = -2. ​

Answers

Answer:

Use photo math, it will explain literally all the steps

Answer: 44 :)

Explanation:
3(-2)^2 - 12(-2) + 8
3(4) + 24 + 8
12 + 24 + 8
44

A furniture store pays a wholesale price for a mattress.
Then, the store marks up the retail price to 150% of the
wholesale price. Later, they put the mattress on sale for
50% off of the retail price. A customer just bought the
mattress on sale and paid $1,200.
a. What was the retail price of the mattress, before the
discount?

Answers

Answer:

Step-by-step explanation:

Part A:

Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

50% of x = 1200

⇒ 0.5x = 1200

⇒ x = 1200 / 0.5 = 2400

Therefore, the retail price of the mattress, before the discount is $2,400.

Part B:

Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400

250% of p = 2400

2.5p = 2400

p = 2400 / 2.5 = 960.

Therefore, the wholesale price, before the markup was $960

Sea f(x) = 5x + 3 entonces f(6) = ?

Answers

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

PLZZ HELP find area of square KLMN?

Answers

Hello! The area of square KLMN is 25 cm²

Make sure to read an explanation for better understanding to the problem.

Any questions about my answer and explanation can be asked through comments.

Step-by-step explanation:

Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.

Therefore 5 × 5 = 5² = 25 cm².

We can also use Calculus to solve the problem by using Integration.

Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.

A line that passes through (a,4) where a is all real numbers. The equation is y = 4

A line that passes through (c,-1) where c is all real numbers. The equation is y = -1

Therefore,

[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]

Because y = -1 is below x-axis. Therefore,

[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]

A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.

(I need the answer ASAP)

Answers

Let’s make variables!
J = Jeans and T = T-shirts
J + T = 50
2T = J + 1
For first equation get T alone
T = 50 - J
2(50 - J) = J + 1
100 - 2J = J + 1
99 = 3J, J = 33
Solution: Pair of Jeans cost $33

Which expression matches this algebraic expression after using Distributive
property a(b+cq - bd).
abcq - abd
ab+ acq - abd
ab + acq -bd
ab + cq -bd

Answers

I agree with this statement.

can you please help me​

Answers

Answer:

1. (x-2)(x-15)

2 (3x-4)(x+2)

3. cannot factor

Step-by-step explanation:

math papa greatest website for math equations.

What is the range for the following set of data?

2, 5, 7, 8, 11, 11, 12

a. 8
b. 9
c. 11
d. 10​

Answers

i think the answer would be D

Answer:

The answer would be D 10

Step-by-step explanation:

Enter the value of P so that the expression 3 (4 + n) is equivalent to 3 (n+p).

Answers

Answer:

3 (4+n)=0

3×4+3×n=0

12+3n=0.... equation 1

3 (n+p)

3×n+3×p=0

3n+3p=0........... equation 2

eq 1 multiply 3 eq 2 multiply 3

36+9n=0

9n+9p=0

_ _ =0

_9n is +9n Crush

36+9p=0

p=36÷9

p=4

p is 4 ans

SELECT ALL THAT APPLY!!!///// answer ASAP pls

Answers

Answer: Its the first and third one.

Step-by-step explanation: Lol nope

A study showed that the ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7. Based on the ratio, how many people in a town of 900 people get their news from social media?

Answers

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

Answer:

is it right

Step-by-step explanation:

The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)

Answers

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree

Answers

Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

A circle has diameter 8. What's the area?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 50.27

Explanation:

r=radius

Diameter/2 = radius

The formula is 3.14r^2

3.14(4)^2

50.27 is final answer

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

50.27

Step-by-step explanation:

A= π r^2

The radius is equal to half of the diameter.Which in this case would be 4 since your diameter is 8.

A = π * 4 ^2

A = 50.27

Anyone Knows algebra??? the answer choices are “ A: 1 and 2
B: 3 and 6
C: 1 and 4
D: 1 and 5”

Answers

Answer:

B(3 and 6)

Step-by-step explanation:

Uhm, this isnt algebra, this are basic geometry rules, 3 and 6 are alternate angles

Please help and tell me how u got it

Answers

Answer:

(5, 27)

Step-by-step explanation:

-3(x^2 - 10x + 16)  [Expand the equation using the FOIL method]

-3(x^2 - 10x) - 48  [Move the 16 outside of the parenthesis (16 * - 3 = -48]

-3(x^2 - 10x + 25) +75 - 48  [Complete the square]

-3(x-5)^2 + 27  [Simplify. The equation is now in vertex form.]

What scale factor was used in the dilation of ABC to FED? ​

Answers

Answer:

SF= 2

Step-by-step explanation:

Side AB had the legnth of 4

the congruent side of EF has a length of 8

therefore the original shape doubled in size

(4x2=8)

A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Select all expressions equivalent to 9(2x - 5)

(select 2 btw)

18x - 5
3(6x - 5)
18x - 45
3(6x- 15) ​

Answers

18x - 45 and 3(6x - 15)

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

What is the slope for (-2,1) and (7,1)

Answers

Answer:

m=0

Step-by-step explanation:

the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)

we are given the points (-2,1) and (7,1)

label the points:

x1=-2

y1=1

x2=7

y2=1

now substitute into the equation

m=(1-1)/(7--2)

m=0/9

m=0

the slope of the line is 0

Hope this helps!

This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
(IF ITS NOT CLEAR SWITCH PICRTURES)
(PLEASE HELP)

Answers

I’m sure it’s 7 sorry if I’m wrong

Answer:

sorry im late but 12

Step-by-step explanation:

The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

https://brainly.com/question/31408211

#SPJ2

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