Question

Y=1/4x+7 y=1/2x+5 The y-coordinate of the solution to the system shown is _____.

Answer 1

The y-coordinate of the solution to the system shown is 9

Explanation:

`y=(1)/(4)x+7\\y=(1)/(2)x+5`

We need to solve these system of equations and find value of y

Let eq (1) be
`y=(1)/(4)x+7`

and eq(2) be
`y=(1)/(2)x+5`

Putting value of y from eq(2) into eq(1)

`y=(1)/(2)x+5=(1)/(4)x+7\\\\(1)/(2)x-(1)/(4)x=7-5\\(2x-x)/(4)=2\\(x)/(4)=2\\x=2*4\\x=8`

Putting value of x=8 in equation 1 to find value of y

`y = (1)/(4)x+7`

`y = (1)/(4)(8)+7`

`y =2+7`

`y =9`

So, The y-coordinate of the solution to the system shown is 9