SOLUTION: One number is five more than twice the second number. If the difference between twice the first number and three times the second number is six, what are the two numbers?

Question 538844: One number is five more than twice the second number. If the difference between twice the first number and three times the second number is six, what are the two numbers?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x = 2y + 5
2x - 3y = 6
.
x - 2y = 5
2x - 3y = 6
.
2x -4y = 10
2x -3y = 6
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-y = 4
y = -4
.
2x -3(-4) = 6
2x +12 = 6
2x = -6
x = -3
.
Check the answer.
-3 -2(-4) = 5 ??
-3 + 8 = 5
Correct
.
Answer: The two numbers are -4 and -3.
.
Done.
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