SOLUTION: Solve by using either the addition method or the substitution method 1/40x-1/5y=-1/8 x+1/15y=46/15 The solution is ( , )

Question 224362: Solve by using either the addition method or the substitution method
1/40x-1/5y=-1/8
x+1/15y=46/15
The solution is ( , )
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X/40-Y/5=-1/8 MULTIPLY BY 1/3 & ADD.
X+Y/15=46/15
X/120-Y/15=-1/24
----------------------
X+X/120=46/15-1/24
(120X+X)/120=(46*24-1*15)/360 MULTIPLY BOTH SIDES BY 120
121X=(1,104-15)/3
3*121X=1,089
363X=1,089
X=1,089/363
X=3 ANS.
3+Y/15=46/15
Y/15=46/15-3
Y/15=(46-3*15)/15
Y/15=(46-45)/15
Y/15=1/15
Y=1 ANS.
PROOF:
3/40-1/5=-1/8
3/40-8/40=-1/8
-5/40=-1/8
-1/8=-1/8

The solution is ( , )
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