# algebra

posted by
**Tony**
.

I need a step by step explanation on how to add these two equations

2x+3y=1

5x+3y=16

Subtract the first equation from the second. (Subtract left and right sides separately). This gives you

3x = 15

Then divide both sides by 3.

x = 5

Pretty easy, huh?

After you have x, you can get y by using any of the original equations.

10 + 3y = 1

Subtract 10 from both sides.

3y = -9

Divide both sides by 3

y = -3

2x + 3y =1

5x + 3y = 16

Multiply the 2nd equation by -1, then add them together like this:

2x + 3y = 1

-5x - 3y =-16

_________________

-3x = -15

Divide by -3 to get x =5. Now, substitute 5 for x in one of the equations and solve for y.