how do you work out this equation?
solve simultaneous equations by substitution
x + y =3
5x + y = 15

Answers

Answer 1

Step-by-step explanation:

x + y = 3. => y = 3 - x

5x + y = 5x + (3 - x) = 15.

=> 4x + 3 = 15

=> 4x = 12, x = 3.

Therefore y = 3 - (3) = 0.

The solutions are x = 3 and y = 0.

Answer 2

Answer:

Step-by-step explanation:

x+y=3

5x+y = 15

I method:

y = 3 - x. substitute this in 2nd equation

5x + (3-x) = 15

5x + 3 - x = 15

4x = 12

x=3

y=0

II method:

subtracting 2nd equation and 1st equation we get

4x +0y = 12

x = 3

y = 0


Related Questions

f(x) = x^2 - x^3
Select the value of f(-2)


-4

4

-12

12

Answers

Answer:

12

Step-by-step explanation:

-2^2-(-2)^3

4-(-8)

4+8

=12

Answer:

yo

Step-by-step explanation:

i jyst want 50 pts

How do you find the inverse of f(x) = 3x -4? what is it?

Answers

Answer:

x= x/3 + 4/3

Step-by-step explanation:

The number of terms the series above is

Answers

Answer:

4

Step-by-step explanation:

On Edg

In the provided sequence there are four terms after expanding the sequence and the sequence is  0 + 3 + 8 + 15.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

3

Σ n(n + 2)

n = 0

After expanding the above sequence:

= 0(0 + 2) + 1(1 + 2) + 2(2 + 2) + 3(3 + 2)

= 0 + 3 + 2(4) + 3(5)

= 0 + 3 + 8 + 15

As we can see in the above sequence there are four terms.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

Thus, in the provided sequence there are four terms after expanding the sequence and the sequence is 0 + 3 + 8 + 15.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold 6,400 worth of stocks. If he averages that same amount each week, how much did he make in commission in 2011?

Answers

Answer:

$43,264

Step-by-step explanation:

Given :

% Commission earned per week = 13%

Worth of stock sold last week = 6400

If same amount is averaged each week during 2011 ;

Number of weeks per year = 52

Worth of stock for the year = (6400 * 52) = $332,800

Average Commission for the year = 13% of 332,800

0.13 * 332,800

= $43,264

In the United States, the waterfall with the greatest single drop is Ribbon Falls in California which drops 1, 612 feet. Find its height in kilometers. 1 mi

Answers

Answer:

0.4913376 km

Step-by-step explanation:

To solve the given question above, we have our conversion factor

1 foot = 0.000305 kilometre

1,612 feet = x km

Cross Multiply

xkm = 1612 × 0.000305

xkm = 0.4913376 km

Therefore, the height in Kilometers is 0.4913376km

please help me ill give brainliest ​

Answers

Answer:

9

-5 - 7(-2)

-5 - (-14)

+9

The answer you are looking for is 9!


What is 82,711 in expanded
form

Answers

Answer:

80000+2000+700+10+1

Step-by-step explanation:

Answer: 80,000+2,000+700+10+1

Step-by-step explanation:

Paula had read 25% of the total pages in a book she is reading for english class. Paula had read 84 pages. Write an equation to determine how many pages are in the book and how many pages she has read.

Answers

Answer:84

84*4=336

Step-by-step explanation:

25% of 336 is 84

A rectangular frame measures 2 feet by 4 feet. How much money will I need to make this frame if wood is $6.00 a yard?​

Answers

You will need 16 dollars

Step-by-step explanation:

Since there are 3 feet in a yard divide the 6 by three that will be 2 dollars per foot. Then 2×4 equals 8. Take the 8 and multiply it by 2 then you will get the total of 16 dollars

Help Me Please I would appreciate it!!!!

Answers

9514 1404 393

Answer:

  y +2 = (1/4)(x +1)

Step-by-step explanation:

The given line is in slope-intercept form:

  y = mx + b

where the slope (m) is -4 and the y-intercept (b) is +13.

For the perpendicular line, we need a slope that is the opposite reciprocal, or ...

  -1/m = -1/(-4) = 1/4

A suitable form for the desired equation is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m=1/4 and (h, k) = (-1, -2), the equation of the line is ...

  y +2 = (1/4)(x +1)

plz help with all ile give brainliest​

Answers

Okay I will comment once I figure it out

Mr. Parkers class has created a list of different ways heat transfer happens in Earths systems. The list is shown here.

Answers

Answer:

I'm sorry but I don't see the list

Step-by-step explanation:

Complete the inequality statement.

8 ___ 8

>
<
=

Answers

Answer:

8 = 8

Step-by-step explanation:

If the numbers are the same, they are equal ( = )

Solve for r: P= 2 r + 2x

Answers

Answer:

The correct answer is,

[tex]r = \frac{p}{2} - x[/tex]


Please help!!!

What else would need to be congruent to show that AABC = ADEF by ASA?
B
E
500
50-
457
A
C
F
O A. ZCEF
O B. BC = EF
O C. ZA ZD
D. AC & DE

Answers

Answer:

bc = ef

Step-by-step explanation:

I just took the test

Similar triangles may or may not be congruent

The true statement is (b) BC  EF

From the question, we have the following highlights about the triangles

The angles at points C and F are congruent (45 degrees)The angles at points B and E are congruent (50 degrees)

The above represents the AA theorem

For the triangles to be similar by ASA, then the side lengths between the equal angles must be similar

The side lengths are BC and EF

Hence, the true statement is (b) BC  EF

Read more about similar triangles at:

https://brainly.com/question/14285697

Select that all apply.

Answers

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price she paid for the shirt (including the cost of shipping). What is the selling price of each T-shirt?

Answers

Answer: She should sell each T-Shirt for at least $4.41

Step-by-step explanation:

First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt

A regular polygon has n sides and interior angles on 160°

Find the size of each interior angle in a regular polygon with 4n sides​

Answers

Answer:

I was right after all. 175°

Step-by-step explanation:

Factor the trinomial 3x^2+19x-14​

Answers

Answer:

(3−2)(+7)

Step-by-step explanation:

3x^2+19x-14

3x^2+21x-2x-14

3x(x+7)-2(x+7)

(3x-2)(x+7)

PLS HELP I"LL GIVE BRAINLIEST TO THE FIRST PERSON WHO ANSWERS IT

Answers

TABLE T

WHY?

BECAUSE THE SAME VALLUE OF X (4) HAS DIFFERENT IMAGES IN Y

The correct answer is B. R

7x + 4(-3x + 6) = -7x + 38

Answers

Answer:

x = 7

Step-by-step explanation:

Given

7x + 4(- 3x + 6) = - 7x + 38 ← distribute and simplify left side

7x - 12x + 24 = - 7x + 38

- 5x + 24 = - 7x + 38 ( add 7x to both sides )

2x + 24 = 38 ( subtract 24 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

7x+4(-3x+6) =-7x+38  Equation/Question

Step 2

7x+4(-3x+6) =-7x+38  Remove parenthesis

-5x+24=−7x+38

Step 3

-5x+24=−7x+38  Add 7x

2x+24=38

Step 4

2x+24=38  Subtract 24

2x=14

Step 5

2x=14  Divide by 2

answer

x=7

Hope this helps

what is the common ratio of the geometric sequence -2, 8, -32, 128

Answers

Answer:

r = - 4

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{8}{-2}[/tex] = - 4

The diagram shows a triangle.

13.4 cm
7.6 cm
Work out the area of the triangle.

Answers

Answer:

Area of the triangle = 12.92 cm²

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

From the figure attached,

Length of base of the triangle = 7.6 cm

Length of the height of the triangle = 3.4 cm

Area of the triangle = [tex]\frac{1}{2}(7.6)(3.4)[/tex]

                                 = 12.92 square cm


A semicircle has radius 8.2cm

Answers

Yes that is what I think the answer is

Out of the 20 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's
class have a pet?
The percent of students in Mrs. Green's class that have a pet is _____
%.

Answers

Answer : 40%
You just have to divide 8/20 = .4 and then move the decimal twice to the right to get the percentage

Helpppp plzzzzzzzzzz

Answers

Given:

Two numbers are 32 and 28.

To find:

The GCF of 32 and 28 and using the GCF find the factor of (32-28).

Solution:

(a)

Two numbers are 32 and 28. The factor form of given numbers are:

[tex]32=2\times 2\times 2\times 2\times 2[/tex]  

[tex]28=2\times 2\times 7[/tex]

Clearly, 2 and 2 are common factors in both.

[tex]GCF(32,28)=2\times 2[/tex]

[tex]GCF(32,28)=4[/tex]

Therefore, the GCF of 32 and 28 is 4.

(b)

Using the GCF we need to find the factor of (32-28).

[tex]32-28=4\times 8-4\times 7[/tex]

Taking out the GCF, we get

[tex]32-28=4\times (8-7)[/tex]

Therefore, [tex]32-28=4\times (8-7)[/tex].

ten less than a number is at least -8. Solve the inequality.

Answers

Answer:

[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]

could you awnser both questions please​

Answers

Answer:

2) answer: 21

4) answer: 8

Step-by-step explanation:

just substitute 6 for n and -2 for t and solve the expressions

Select the letter of the correct answer.
Suppose a group of Hawaiians trying to be more food self-sufficient consists of 17 people who
farm, 12 people who hunt, and 15 people who fish. If a person is chosen at random, what would
be the probability of choosing a hunter? Round your answer to the nearest whole percent.
A 34 percent
B 27 percent
C 38 percent
D 24 percent

Answers

I would say A hope it’s right

If you help I’ll give brainliest and 20 point please only answer if you know it pls and thank you

Answers

it is 625

have a nice day!<3

Answer:

-625.

Step-by-step explanation:

-5*-5*-5*-5

-25*-5*-5

125*-5

625.

I hope this helps!

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