Question

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

Answer 1

Answer:

$3x + 13y = 14$

$6x + 11y = -2$

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

$(x,y) = (-4,2)$

Testing Option A

$3x + 13y = 14$

$6x + 11y = -2$

Substitute $x = -4$ and $y = 2$ in $3x + 13y = 14$

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

Open Brackets

$-12 + 26 = 14$

$14 = 14$

Substitute $x = -4$ and $y = 2$ in $6x + 11y = -2$

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

Open Brackets

$-24 + 22 = 2$

$2 = 2$

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.