SOLUTION: 2y + 3x = 12 -4y + 5x = -2 How do I solve the above linear equations using the elimination method? I don't understand

Algebra ->  Linear-equations -> SOLUTION: 2y + 3x = 12 -4y + 5x = -2 How do I solve the above linear equations using the elimination method? I don't understand       Log On


   

Question 324946: 2y + 3x = 12
-4y + 5x = -2
How do I solve the above linear equations using the elimination method? I don't understand
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by eliminiation:
2y%2B3x+=+12
-4y%2B5x+=+-2
Here you have two equations in two unknowns. The idea behind the "elimination" method is to eliminate one of the variables (either x or y) then solve for the remaining variable. Once you know the value of one of the variables, you can find the value of the other one by substitution.
Let's start:
1) 2y%2B3x+=+12 Multiply this equation by 2.
2) -4y%2B5x+=+-2
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1a) 4y%2B6x+=+24
2a) -4y%2B5x+=+-2 Add these two equations to eliminate the y-variable.
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3) 11x+=+22 Divide both sides by 11.
3a) highlight%28x+=+2%29 Now substitute this value of x into either one of the two original equations to solve for y. Let's use equation 1).
1) 2y%2B3x+=+12 Substitute x = 2.
1a) 2y%2B3%282%29+=+12
1b) 2y%2B6+=+12 Subtract 6 from both sides.
1c) 2y+=+6 Divide both sides by 2.
1d) highlight%28y+=+3%29