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

Question

asked Mar 21, 2020 189k views

1 Answer

Thinlizzy · Answer 1 · 2020-03-25T06:14:16+0000

Answer:

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