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

QUESTION POSTED AT 29/05/2020 - 01:25 AM

QUESTION POSTED AT 29/05/2020 - 01:25 AM

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)

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)

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