Solve the system of equations:

1. \(2x - 5y = 7\)

2. \(3x - 2y = -17\)

{ 2 x − 5 y = 7 / ∗ 3 3 x − 2 y = − 17 / ∗ ( − 2 ) ​ { 6 x − 15 y = 21 − 6 x + 4 y = 34 ​ + − − − − − − − − 11 y = 55 / : ( − 11 ) y = − 11 55 ​
y = − 5 2 x − 5 y = 7 2 x − 5 ∗ ( − 5 ) = 7 2 x + 25 = 7 2 x = 7 − 25
2 x = − 18 / : 2 x = − 2 18 ​ x = − 9 { x = − 9 y = − 5 ​

Answered by Lilith | 2024-06-10

The solution to the system of equations is ( x , y ) = ( − 9 , − 5 ) . We used the elimination method by aligning the coefficients and substituting to find the values of x and y .
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Answered by Lilith | 2024-12-23