Question

Consider the following equations: −x − y = 1 y = x + 3 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4 points) (−1, 2) (−2, 1) (1, −2) (2, −1)

Answer 1

Equation 1: -x-y = 1y, -x = 2y

Equation 2: 1y = x+3 , y = x+3

Substitute equation 2 into equation 1

-x = 2y

-x = 2(x+3)

-x = 2x + 6

-3x = 6

x = -2

Substitute x=-2 into equation 2

y = x+3

y = -2+3

y = 1

So, (x,y) = (-2,1)