SOLUTION: I am trying to figure out how to elimination problems.... Not having much luck....can someone help me, point me in the right direction? 6x+2y-4=0 and 10x+7y=-8

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Question 238685: I am trying to figure out how to elimination problems....
Not having much luck....can someone help me, point me in the right direction?
6x+2y-4=0 and 10x+7y=-8
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: multiply one of the equations by a constant that will make the coefficient on one of the variables the additive inverse of the coefficient on that same variable in the other equation. Frequently, as in this case, you need to find multipliers for both equations to create the additive inverse relationship. In this case, you need to find the Least Common Multiple. LCM for 10 and 6 is 30, or the LCM for 2 and 7 is 14.

So you can either multiply equation 1 by 5 and equation 2 by -3, or you can multiply equation 1 by 7 and equation 2 by -2.

Step 2: add like terms in the two equations. the result will be one equation with one of the variables having a zero coefficient -- therefore eliminated. You are left with one equation in one variable that can be solved by ordinary means.


John