Question

What is the value of y in the solution to this system of equations?

y =
7x+14
2.
2x + 4y = 60

Answer 1

`y = (224)/(15)`

Explanation:

Given

`y = 7x + 14`

`2x + 4y = 60`

Required

Find y

First, substitute 7x + 14 for y in the second equation:

`2x + 4y = 60` becomes

`2x + 4(7x + 14) =60`

Open bracket

`2x + 28x + 56 = 60`

`30x = 60 - 56`

`30x = 4`

Solve for x

`x = (4)/(30)`

`x = (2)/(15)`

`y = 7x + 14` becomes

`y = 7 * (2)/(15) + 14`

`y = (14)/(15) + 14`

`y = (210+14)/(15)`

`y = (224)/(15)`

Hence:

`y = (224)/(15)`