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Solve using elimination. -x+3y=19 3x-6y=-18 (II square square D

Pergunta

Solve using elimination.
-x+3y=19
3x-6y=-18
(II square  square  D

Solve using elimination. -x+3y=19 3x-6y=-18 (II square square D

Solução

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JoséElite · Tutor por 8 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 x in both equations equal:
-3x + 9y = 57


2. Add the two equations together to eliminate x:
-3x + 9y + 3x - 6y = 57 - 18

3y = 39


3. Solve for y:
y = 13


4. Substitute the value of y into one of the original equations to solve for x:
-x + 3(13) = 19

-x + 39 = 19

-x = -20

x = 20


Therefore, the solution to the system of equations is x = 20
and y = 13
.
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