Question

Solve each system by the addition method.

6x - 10y = 2
2x + 5y = 9

Put your answer in ordered pair (x, y) form.

Answer 1

Before you add both systems together you should multiply the second equation by -3 to eliminate x. When you do that you should have :
6x -10y = 2
-6x - 15y = -27

Answer 2

Now when you add this is what you get:
-25y = -25
Therefore y = 1

Answer 3

multiply the second equation by 2 is better

Answer 4

If y = 1 we will substitute this value into either original equation 1 or 2. So lets pick equation 1: 6x - 10y = 2 if y = 1 we have
6x - 10 = 2
6x = 12
x = 2
So your final solution in ordered pair: (2,1)

Answer 5

After your result you can check your solution by plugging in your result for both x and y so if we take the first equation and plug in 2 for x and 1 for y we get:
12 - 10 = 2
2=2
Since 2 is indeed equal to 2 your solution is correct

Answer 6

As mathematicalpro rightly pointed out another way of solving is if you decide to eliminate y first. In that case you should multiply equation (2) by 2 and then add them together.

Answer 7

Thanks so much!