SOLUTION: A first number plus twice a second number is 8. Twice the first number plus the second total 35. Find the numbers

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Question 1102767: A first number plus twice a second number is 8. Twice the first number plus the second total 35. Find the numbers
Found 2 solutions by josgarithmetic, rothauserc:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2B2y=8%2C2x%2By=35%29
Solve the system.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
1) x + y = 8
:
2) 2x + y = 35
:
solve equation 2 for y
:
y = 35 - 2x
:
substitute for y in equation 1
:
x + 35 - 2x = 8
:
-x = -27
:
x = 27
:
using equation 1, substitute for x
:
2(27) + y = 35
:
y = 35 - 54 = -19
:
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x = 27 and y = -19
:
substitute for x and y in equations 1 and 2
:
1) x + y = 8
:
27 + (-19) = 8
8 = 8
:
2) 2x + y = 35
:
2(27) + (-19) = 35
:
54 - 19 = 35
35 = 35
:
the answers check
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