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solve the equations.   4x + y = 6 ? and x + y = 3 ?

craig105

by craig105 at November 11, 2009

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I assume both equations are a single system of equations. Otherwise, you would have infinite solutions for each. You can start by solving either one for x or for y. I'll pick the second one and will solve for y, just because it looks the easiest choice. With practice you will be able to see which is the easiest one as well:  x + y = 3- x      =    - x        y = 3 - xThen we replace y on the first one:4x + (3 - x) = 64x + 3 - x = 63x + 3 = 6     - 3 = - 33x       = 33x/3    = 3/3x = 1Then, from the last equation, we get  1 + y = 3- 1      = -1        y = 2Then the answer is x = 1 and y = 2

Carlos Carlos November 11, 2009

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