Question

How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?

Answer 1

x = -2

Explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96 Now combine like terms:

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13y = 91

Solving for y by dividing both sides by 13: y = 7

Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2