A first number plus twice a second number is 55. Twice the first number plus the second totals 1313. Find the numbers.
1 answer:
The answer: x=857 and y=-401
Set up the two equations
X+2y=55
2x+y=1313
Solve the system of equations by elimination
2x+y=1313
-2x-4y=-110
Add each of the corresponding terms together
-3y=1203
Divide by -3
Y=-401
Plug y back into one of the original equations
X+2(-401)=55
X-802=55
X=857
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