Question

Solve the system by substitution or elimination.
2x + y = 8
x - y = 10

Answer 1

(6,-4)

Explanation:

Let's use substitution.

2x+y = 8

x - y = 10

I'm going to solve the 2nd equation for y:

-y = 10-x

y = x-10

Now substitute that in the 1st equation.

2x+y = 8

2x + (x-10) = 8

3x - 10 = 8

3x = 18

x = 6

Now substitute x=6 into either equation to get the y value:

x-y = 10

6 - y = 10

-y = 4

y = -4

So the answer is (6,-4)