SOLUTION: solve by using elimination a.) 1/4x -6y=-70 5x+3/4y=49 b.) 1/4x+33/2=y y-12=-2x

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Question 965300: solve by using elimination
a.) 1/4x -6y=-70
5x+3/4y=49
b.) 1/4x+33/2=y
y-12=-2x

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


Before using elimination, get rid of the fractions by 
multiplying them through by the least common denominator of 4:





We notice that the y terms will cancel if we multiply the second 
equation through by 8 to make the +3y become +24y. then it will
cancel with the -24y term in the first equation:


------------------------------

      
       

Finish by subtituting 8 for x in any of the above equations
which contain both letters.  I'll pick this one







The solution is (x,y) = (8,12)

--------------------------------------

b.) 

Multiply the first one through by 4





Now we need to line the terms up su that the x terms come first,
the y-terms come second, the equal signs come third and the constant
terms come fourth.  We do that by adding and subtracting terms from
both sides until they get like this:



We notice that the x terms will cancel if we multiply the first 
equation through by -2 to make the x become -2x. Then it will
cancel with the 2x term in the second equation:


------------------------------

      
       

Finish by subtituting 16 for y in any of the above equations
which contain both letters.  I'll pick this one







The solution is (x,y) = (-2,16)

Edwin

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