Question

Which ordered pair (m, n) is the solution to the given system of linear equations?

6m -5n=14
2m+2n=-10
(–4, –1)
(11, -16)
(–1, –4)
(-16, 11)

Answer 1

(m, n) = (11, -16) and (m, n) = (–1, –4).

Explanation:

these are the correct ordered pairs

1.) (m, n) = (–4, –1):

6m - 5n = 6(-4) - 5(-1) = -24 + 5 = -19

2m + 2n = 2(-4) + 2(-1) = -8 - 2 = -10

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2.) (m, n) = (11, -16):

6m - 5n = 6(11) - 5(-16) = 66 + 80 = 146

2m + 2n = 2(11) + 2(-16) = 22 - 32 = -10

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3.) (m, n) = (–1, –4):

6m - 5n = 6(-1) - 5(-4) = -6 + 20 = 14

2m + 2n = 2(-1) + 2(-4) = -2 - 8 = -10

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4.) (m, n) = (-16, 11):

6m - 5n = 6(-16) - 5(11) = -96 - 55 = -151

2m + 2n = 2(-16) + 2(11) = -32 + 22 = -10

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