Question

Lukas graphed the system of equations shown. 2x + 3y = 2 y = x + 3 What is the solution to the system of equations?

Answer 1

Answer: its (-2,2)

yeah its (-2,2)

Answer 2

Rewrite the first equation to be in y=... form:

2x+3y=2
3y = 2-2x
y = (2-2x)/3

Now you can equate it to the second (the y drops out):

(2-2x)/3 = x+3
2/3 - 2/3x = x + 3
-5/3x = 7/3
x = - 7/5

so y = x+3 = -7/5 + 3 = 8/5

The intercept is at (-7/5, 8/5)