Question

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

63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
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Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe

Answer 1

(5,-6) is a solution

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