"Ladies and Gentlemen, the Chicago Theatre is Proud to Announce a First, the First Time Anywhere There has been an Act of this Nature, Not Only One Little Lady but Two.......
Roxie Hart and Velma Kelley!"
Your Case:
3x + 4y = -3
2x + y = 8
In order to combine to equations into one spectular performance, you must first cancel out one variable completely. For example, the easiest variable to cancel out in this case is the y because it has a variable already by itself. Thus, you need to multiply each part of the second equation by -4<the opposite reciprocal> in oorder to make the +4y cancel out.
Your new evidence: -8x -4y = -32
Your first equation: 3x + 4y = -3
Since your "y" values cancel out, you can combine the two equations:
-8x +3x = -32 -3 *Add your two equations together*
Your new equation becomes:
-5x = -35
x = 7 *Divide both sides by -5*
Now that you know that x = 7, you can get Mama to help you substiute this value back into one of the original equations. We'll choose:
2x + y = 8
2(7) + y = 8
14 + y = 8 *Multiply 2 times 2*
y= -6 *Subtract 14 from both sides*
The solution of a case should be written (x,y) so your solution to your case is
(7, -6)
"And that's good! Isn't it grand? Isn't it great? Isn't it swell?"