Can anyone help me solve this system of equations by elimination?

1. \(5x + 4y = -30\)
2. \(3x - 9y = -18\)

{ 5 x + 4 y = − 30 / ⋅ ( − 3 ) 3 x − 9 y = − 18 / ⋅ 5 ​ { − 15 x − 12 y = 90 15 x − 45 y = − 90 ​ + − − − − − − − − − 57 y = 0 y = 0 5 x + 4 y = − 30 5 x + 4 ⋅ 0 = − 30 5 x = − 30 / : 5 x = − 5 30 ​ x = − 6 A n s w er : { x = − 6 y = 0 ​

Answered by Lilith | 2024-06-10

To solve the system of equations using elimination, we first modify the equations to equalize the coefficients of one variable, then combine them to find one variable's value. In this case, we find x = − 6 and y = 0 , giving us the solution ( − 6 , 0 ) .
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Answered by Lilith | 2024-12-18