y = [tex] \frac{1}{2} [/tex]x + 3
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
[tex] \frac{1}{2} [/tex]x + 3 = x - 4 Multiply both sides by 2
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4[tex] \frac{2}{3} [/tex] = x
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4[tex] \frac{2}{3} [/tex] - 4 Subtract
y = [tex] \frac{2}{3} [/tex]
x = 4[tex] \frac{2}{3} [/tex] and y = [tex] \frac{2}{3} [/tex]
