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In Mathematics / High School | 2014-11-17

Use the method of elimination to solve the system of equations:

1. \(3x - 6y = 3\)

2. \(2x + 4y = 30\)

(Note: Begin by multiplying the equations as necessary to facilitate the elimination of one of the variables.)

Asked by Patrickdeshawns

Answer (2)

{ 2 x + 4 y = 30 ∣ ∗ ( − 3 ) 3 x − 6 y = − 3 ∣ ∗ 2 ​ { − 6 x − 12 y = − 90 6 x − 12 y = − 6 ​ + − − − − e l imina t i o n 0  = − 69 T h ere a re n o so l u t i o n s

Answered by luana | 2024-06-10

We solved the system of equations by first simplifying and aligning the coefficients, then using elimination to find y = 4 and substituting back to find x = 7 . Thus, the solution is x = 7 and y = 4 .
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Answered by Anonymous | 2024-12-18