Question

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

Answer 1

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

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)