Can 4x-2y=12x+2y=8 be solved by adding one of the original equations to the other

Yes, those equations can be solved by adding one of the original equations to the other. And the solution is x = 1 and  y = -2

Step-by-step explanation:

The given equations are

4x - 2y = 8 (1) and

12x + 2y = 8 (2)

Now, those two equations can be solved by adding one of them to another.

So, by adding equations (1) and (2) we get,

(4x + 12x) = 8 + 8 = 16

⇒ 16x = 16

⇒ x = 1

Again, from equation (1) we get, 4(1) - 2y = 8

⇒ 2y = 4 - 8 = - 4

⇒ y = - 2

Hence, the solution is x = 1 and y = -2. (Answer)

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step-by-step explanation: