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Find the solution to the system of equations -3x-9y=18 4x+3y=12

1 Answer

4 votes

Answer:

(6,-4)

Explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12 Multiply 4(6)

24+3y = 12 Subtract 24 from both sides

3y = -12 Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

User Gtalarico
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