SOLUTION: Use elimination to solve each system. 3x + 2y = - 4 4x - 2y = -10 (PLEASE SHOW ALL STEPS) Thanks!

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Question 714146: Use elimination to solve each system.
3x + 2y = - 4
4x - 2y = -10
(PLEASE SHOW ALL STEPS)
Thanks!
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Multiply either one or both of the equations by a constant or constants so that the coefficient on one of the variables in one of the equations becomes the additive inverse of the coefficient on that same variable in the other equation. In this case, you don't have to do anything for this step because the coefficients on the variables started out as additive inverses -- that is to say 2 - 2 = 0.

The next step is to add the like terms in the two equations. The variable with the additive inverse coefficients will go away, hence the term "Elimination" method. This leaves a single variable equation that can be solved by ordinary means.

Once you have calculated the value of the single variable that remains, you can substitute that value back into either one of the original equations and solve for the other variable.

John

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