Question

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.

Answer 1

Answer:

A. $3x + 13y = 14$ and $6x + 11y = -2$

Step-by-step explanation:

Required

Determine which system of equation satisfy (-4,2)

To do this, we simply substitute -4 for x and 2 for y in the given functions.

A.

$3x + 13y = 14$ and $6x + 11y = -2$

$3x + 13y = 14$

$3(-4) + 13(2) = 14$

$-12 + 26 = 14$

$14 = 14$

$6x + 11y = -2$

$6(-4) + 11(2) = -2$

$-24 + 22 = -2$

$-2 = -2$

The above shows that the given linear combination has a solution of (-4,2).

Hence, this option answers the question and there is no need to check other options