SOLUTION: The difference between two numbers is -38. Two times the smaller number minus five times the larger number is -217. What are the two numbers?

Question 14287: The difference between two numbers is -38. Two times the smaller number minus five times the larger number is -217. What are the two numbers?
Found 2 solutions by elima, Dimknight:
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
The difference between two numbers is -38. Two times the smaller number minus five times the larger number is -217. What are the two numbers?
Let x= smaller number
y=larger number
x-y=-38
2x-5y=-217
Now you have your equations; we will start with substitution; that means we will find the answer for one variable and substitute it in the equation to find the other variable.
We will start with the first equation;
x-y=-38
x=-38+y
Now substitute this equation for the x;
2(-38+y)-5y=-217
Distribute the 2;
-76+2y-5y=-217
Add 76 to both sides, andadd like terms;
2y-5y=-217+76
-3y=-141
divide each side by -3;

y=47
Now we have what y =;
x-47=-38
x=9
So we are finished;
y=47
x=9
Do not forget to check your answers!
Hope you understand
=)

Answer by Dimknight(1) (Show Source): You can put this solution on YOUR website!
y=x+38
2x-5y=-217
2x-5(x+38)=-217
2x-5x-190=-217
-3x=-27
x=9
y=x+38
y=9+38
y=47

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