Solve the system using the combination method to find the solution \((x, y)\).

\[
4x + 7y = 10
\]

\[
-4x - 6y = 28
\]

{ − 4 x − 6 y = 28 4 x + 7 y = 10 ​ a dd t h ose tw o e q u a t i o n s y = 38 4 x + 7 y = 10 ∣ s u b t r a c t 7 y 4 x = 10 − 7 x ∣ d i v i d e b y 4 x = 4 10 − 7 x ​ = 4 10 − 7 ∗ 38 ​ = 4 10 − 266 ​ = 4 − 256 ​ = − 64 so l u t i o n : { x = − 64 y = 38 ​

Answered by luana | 2024-06-10

4 x + 7 y = 10 − 4 x − 6 y = 28 − − − − − − − y = 38 4 x + 7 ⋅ 38 = 10 4 x + 266 = 10 4 x = − 256 x = − 64

Answered by konrad509 | 2024-06-10

Using the combination method, we solved the system of equations to find y = 38 and x = − 64 . The solution is therefore ( x , y ) = ( − 64 , 38 ) .
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Answered by luana | 2024-10-25