Question

Solve each equation for y. Then find the value of y for each value of x

x-4y=-4 ; x = -2,4,6

Answer 1

$x-4y=-4\ \ \ \ |subtract\ x\ from\ both\ sides\\\\-4y=-x-4\ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\y=\dfrac{1}{4}x+1\\\\x=-2\to y=\dfrac{1}{4}\cdot(-2)+1=-\dfrac{1}{2}+1=\dfrac{1}{2}\\\\x=4\to y=\dfrac{1}{4}\cdot4+1=1+1=2\\\\x=6\to y=\dfrac{1}{4}\cdot6+1=1.5+1=2.5$