Solve the following systems algebraically

a. x+2y=17

x-y=2

There are 3 methods to solve this. elimination substitution and graphing but i am going to use the elimination method.

x+2y=17

x-y = 2

0+3y = 15 (subtracted down to eliminate the x) (x-x=0, 2y - (-y) = 3y, and 17-2=15)

3y=15 (divide both sides by 3 to solve for y)

y=5

substitute the y=5 in any of the above equations and solve for x

ie ... (meaning where you find y in the equation, u replace it with a 5)

it will be easier to solve for x in (x-y=2) so i will use that one.

x - (5) = 2 (add 5 on both sides to solve for x)

x=7