Solve the following system of equations:

x − 2y = 14
x + 3y = 9

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Question

Solve the following system of equations: 

x − 2y = 14
x + 3y = 9

 (1, 12)

 (−1, −12)

 (12, −1)

 (12, 1)

anonymous · Answer

So you want to eliminate a component to make it easier to find the other one

You know you can rearrange both of these equations for x
x=14+2y
x=9-3y

So now you know 
14+2y=9-3y

put all your y's on one side
5y=-5

divide for y

then substitute your 'y' value back in to your original equation to find 'x'

hope this helps!

texaschic101 · Answer

do you need help ?

texaschic101 · Answer

sarahusher explained it very well

texaschic101 · Answer

you could also multiply the 1st equation by -1. Then add the equations, ..you see how the x's cancel out, and you can solve for y. Once y is found, sub that back into either equation and solve for x.