SOLUTION: Solve each of the following systems by the elimination method
1/4x - 1/6y = -2
-1/6x + 1/5y = 4
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Question 154804: Solve each of the following systems by the elimination method
1/4x - 1/6y = -2
-1/6x + 1/5y = 4
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
..............(1)
..............(2)
Multiplying equation (1) by 12,equation (2) by 30 to clear fractions, we have
.....................(3)
....................(4)
Multiplying equation (3) by 3, the systems becomes:
.....................(5)
....................(6)
Adding equations(5) and (6)together, we have
Simplifying, we have
Substituting x = 12 into equation(3), we obtain:
Solving for y, we have
So
Thus the solution is:
x = 12
y = 30
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