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.

Answer 1

Selection A is the correct answer i took test

Explanation:

Answer 2

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

Explanation:

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This 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 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.