SOLUTION: You want to get rid of the y by elimination in the system below: x-6y=35; 10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?

Algebra ->  College  -> Linear Algebra -> SOLUTION: You want to get rid of the y by elimination in the system below: x-6y=35; 10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?      Log On


   



Question 1128603: You want to get rid of the y by elimination in the system below: x-6y=35;
10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You want to get rid of the y by elimination in the system below: x-6y=35;
10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?
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x-6y = 35 times 4 ----> 4x-24y = 140
10x-2y = 35 times ? --> Ax-24y = 35B
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I would multiply the 2nd eqn by 3, and use the 1st eqn as is.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

You want to get rid of the y by elimination in the system below: x-6y=35;
10x-2y=35. If you multiply the top equation by 4, by which number will you multiply the bottom equation?
Multiply by 12 or - 12, but that's very INEFFICIENT though.
If it matters, the best way to eliminate y is to MULTIPLY eq (ii) by - 3 to get eq (iii). Then, ADD eqs (iii) & (i).