Question

Select the system of linear equations that has the solution (-6, 0).

A. X+ Y=0
X+y=-6

B.X+2y=-6
X-2y=-6

C. x-6y=1
-6x+y=4

D.4x+3y=-18
x-2y=12

Answer 1

B.

• x+2y=-6

• x-2y=-6

Explanation:

Try the solution in the equations and choose the set of equations that is true.

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A. -6+0 ≠ 0 . . . not this system

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B. -6 +2·0 = -6 . . . true

-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)

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C. -6 -6·0 ≠ 1 . . . not this system

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D. 4(-6)+3·0 ≠ -18 . . . not this system