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solve using elimination. -3x+y=-12 9x-9y=-18 d square D

Pergunta

solve using elimination.
-3x+y=-12
9x-9y=-18
d square  D

solve using elimination. -3x+y=-12 9x-9y=-18 d square D

Solução

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AlexandreMestre · Tutor por 5 anos

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To solve the system of equations using elimination, we can follow these steps:

1. Multiply the first equation by 3 to make the coefficients of y in both equations equal:
-9x + 3y = -36

9x - 9y = -18


2. Add the two equations together to eliminate y:
-9x + 3y + 9x - 9y = -36 - 18

-6y = -54


3. Divide both sides of the equation by -6 to solve for y:
y = 9


4. Substitute the value of y into one of the original equations to solve for x. Let's use the first equation:
-3x + 9 = -12

-3x = -21

x = 7


Therefore, the solution to the system of equations is x = 7
and y = 9
.
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