Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5$

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

Let eq (1) be$y=\frac{1}{4}x+7$

and eq(2) be $y=\frac{1}{2}x+5$

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

$y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8$

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

$y = \frac{1}{4}x+7$

$y = \frac{1}{4}(8)+7$

$y =2+7$

$y =9$

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