Question

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

Answer 1

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

$6x + 3y = 12$

$4x + y = 14$

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

$6x + 3y = 12$ becomes

$6 * 5 + 3 * -6 = 12$

$30-18 = 12$

$12 = 12$

$4x + y = 14$ becomes

$4 * 5 - 6 = 14$

$20 - 6 = 14$

$14 = 14$

Because both solutions are true, then (5,-6) is a solution