Mathematics
Pearly971
35

How do you solve the system of linear equations? 3x-2y= -6 7x-6y= 12

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(1) Answers
Adria328

3x-2y= -6 7x-6y= 12 (3x-2y= -6)(-3)  7x-6y= 12 -9x + 6y = 18 7x - 6y = 12 Cancel out y by y = 0 -9x = 18 7x = 12 Add: -2x = 30 Divide to both sides -2x/-2 = 30/-2 x = -15 Now solve for y by choosing one of the original equations: 3x-2y= -6 7x-6y= 12 3x - 2y = -6 3(-15) - 2y = -6 -45 - 2y = -6 -45 + 45 -2y = -6 + 45 -2y = 39 y = -19.5 Check work: 3x-2y= -6 3(-15) - 2(-19.5) = -6 -45 + 39 = -6 -6 = -6 Final Answer: x = -15, y = -19.5 (-15, -19.5)

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