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

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(1) Answers

kylaeberhardt92

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)