We are asked to solve for the y-coordinate of the solution to the system with the following expression
y = (1/4)x + 7
y = (1/2)x + 5
Let us solve first the value of x such that:
y = y
(1/4)x + 7 = (1/2)x + 5 , transpose 5 to the opposite side and transpose (1/4)x to the right side such that:
7 - 5 = (1/2)x - (1/4)x , perform addition and subtraction
2 = (1/4)x , multiply both sides by 4
2*4 = x
8 =x
Therefore, the answer is "4".