## The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y

Question

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

3 x + 13 y = 14. 6 x + 11 y = negative 2.

4 x + 5 y = 12. 8 x + 3 y = negative 4.

5 x + 4 y = 12. 7 x + 8 y = 12.

10 x + 3 y = 8. 17 x + 6 y = 10.

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2022-01-10T11:30:13+00:00
2022-01-10T11:30:13+00:00 2 Answers
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## Answers ( )

The solution (-4,2) satisfies for the system of linear equations

3x + 13y = 14; 6x + 11y = -2Step-by-step explanation:Step 1:Given detail is the solution of the equations (-4, 2) ie,

x= – 4 and y = 2This implies that this solution should satisfy the given linear equations.

Step 2:Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS =

3(-4) + 13 (2) = -12 + 26 = 14= RHSSystem 1 Eq(2) ⇒ LHS =

6(-4) + 11(2) = -24 + 22 = -2= RHSTherefore, the first system of linear equations satisfy the condition.

Answer:Selection A is the correct answer i took test

Step-by-step explanation: