Homework Help: algebra

Posted by Tony on Tuesday, March 20, 2007 at 9:39am.

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.

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