x + y=16

x - y=2

1 answer

To solve this system of equations, we can use the method of elimination.

First, we can add the two equations together:

(x + y) + (x - y) = 16 + 2
2x = 18

Next, divide both sides of the equation by 2 to solve for x:

2x/2 = 18/2
x = 9

Now, substitute the value of x into one of the original equations:

9 + y = 16

Subtract 9 from both sides of the equation:

y = 16 - 9
y = 7

Therefore, the solution to the system of equations is x = 9 and y = 7.