Question

Which pair of x and y values below are the solution to the simultaneous equations? x+2y=6 x-2y=2

Answer 1

x = 4, y = 1

Step 1: use the equations given to find an equation with only 1 term. Here I used x.

(x + 2y) + (x - 2y) = 2x = 6 + 2 = 8

2x = 8

x = 4

Step 2: substitute x = 4 into either given equation. Here I used the first equation x + 2y = 6.

(4 + 2y) = 6

2y = 6 - 4 = 2

y = 1

This solution can also be done by finding y in step 1 or using the other given equation in step 2.

Hope this helped!