Question

Solve the system. {y=5/6x+1 {−x+y=2

Answer 1

Y = 5/6x + 1
so we sub in 5/6x + 1 in for y in the other equation

-x + y = 2
-x + 5/6x + 1 = 2
-x + 5/6x = 2 - 1
-6/6x + 5/6x = 1
-1/6x = 1
x = 1 * -6
x = -6

-x + y = 2
-(-6) + y = 2
6 + y = 2
y = 2 - 6
y = -4

solution is (-6,-4)

Answer 2

You can substitute the value of y(5/6 x + 1) from the first equation for y in the second and get $-x + ( \frac{5}{6} x+1) = 2$ which becomes $- \frac{1}{6} x + 1 -1=2-1$ and you get