Solve the following system of equations by the substitution method.8x = 2y + 5

3x = y + 7

What is the solution set?

{(-41/2, -9/2)}
{(-9/2, -41/2)}
Ø

Answers

Answer 1

Answer: 8x = 2y + 5
3x = y + 7

We will use the second equation to substitute in the first one. Here's how to do it:
3x = y + 7
y = 3x - 7 (now substitute this in the first equation)

8x = 2y + 5
8x = 2(3x - 7) + 5
8x = 6x - 14 + 5
8x = 6x - 9
6x - 9 = 8x
6x - 8x = 9
-2x = 9
x = -9/2 (this is the first coordinate, now we need to find y)

We use the second equation again:
3x = y + 7
y + 7 = 3x
y + 7 = 3(-9/2)
y + 7 = -27/2
y = -27/2 - 7
y = -27/2 - 14/2
y = -41/2 (this is the second coordinate)

This means that the solution set is the second option: {(-9/2, -41/2)}

Answer 2

Answer:

Answer:

{(-9/2, -41/2)}

Step-by-step explanation:

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question is ,four children saved £29 to go on a coach. They each saved the same amount. How much did each saved

Answers

If they saved £29 all together, and if each of them saved the same amount,
then each saved £29/4 = £7.25 or £7 and 25p.

(Before decimalization in 1971, £7.25 would have been £7 and 5s .)

$(29)/(4)=\pounds7,25$