SOLUTION: Solve each system by the addition method. (1/8)x+(1/4)y+5 (1/6)x+(1/2)y=7 and 1.5x-2y=-0.25 3x+1.5y=6.375

Algebra ->  Equations -> SOLUTION: Solve each system by the addition method. (1/8)x+(1/4)y+5 (1/6)x+(1/2)y=7 and 1.5x-2y=-0.25 3x+1.5y=6.375      Log On


   

Question 121017: Solve each system by the addition method.
(1/8)x+(1/4)y+5
(1/6)x+(1/2)y=7


and


1.5x-2y=-0.25
3x+1.5y=6.375
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X/8+Y/4=5 (I'LL ASSUME THAT + SHOULD HAVE BEEN AN = SIGN.)
NOW MULTIPLY THE OTHER EQUATION BY -1/2 & ADD THEM.
-X/12-Y/4=-7/2
X/8+Y/4=5
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X/8-X/12=5-7/2 ADD THE FRACTIONS BY FINDING A COMMON DENOMINATOR.
(3X-2X)/24=(10-7)/2
X/24=3/2 NOW CROSS MULTTPLY
2X=3*24
2X=72
X=72/2
X=36 ANSWER.
36/6+Y/2=7
Y/2=7-36/6
Y/2=7-6
Y/2=1
Y=2 ANSWER.
PROOF:
36/8+2/4=5
4.5+.5=5
5=5
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I'LL LEAVE THE OTHER ONE FOR YOU TO SOLVE AS IT IS GETTING LATE.