Solve the system by elimination:
\[ 9x - 3y = 3 \]
\[ 3x + 8y = -17 \]
Answer (2)
{ 3 x + 8 y = − 17 ∣ ∗ ( − 3 ) 9 x − 3 y = 3 { − 9 x − 24 y = 51 9 x − 3 y = 3 + − − − − a dd i t i o n m e t h o d − 27 y = 54 ∣ d i v i d e b y − 27 y = − 27 54 x = 3 − 17 − 8 y = 3 − 17 − 8 ∗ ( − 27 54 ) = − 3 1
The solution to the system of equations is found by first manipulating the equations to allow for the elimination of one variable. Using elimination, we determined that x = − 3 1 and y = − 2 . Therefore, the final solution is the ordered pair ( − 3 1 , − 2 ) .
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