Answer:
The y-coordinate of the solution to the system shown is 9
Step-by-step explanation:
[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]
We need to solve these system of equations and find value of y
Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]
and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]
Putting value of y from eq(2) into eq(1)
[tex]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[/tex]
Putting value of x=8 in equation 1 to find value of y
[tex]y = \frac{1}{4}x+7[/tex]
[tex]y = \frac{1}{4}(8)+7[/tex]
[tex]y =2+7[/tex]
[tex]y =9[/tex]
So, The y-coordinate of the solution to the system shown is 9
