Question 245733
y = 6x - 11
-2x - 3y = -7

Get everything on the correct side

y - 6x = -11
-3y - 2x = -7

Multiply the top equation by 3 to eliminate the y

3y - 18x = -33
-3y - 2x = -7

Add the equations together

-20x = -40
x = 2

Insert x into one of the orginal equations

y = 6(2) - 11
y = 12 - 11
y = 1

check.

-2(2) -3(1) = -7
-4 -3 = -7
-7 = -7

x = 2
y = 1

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