SOLUTION: Twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. Find the two numbers.

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Question 1167962: Twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. Find the two numbers.
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
equations are:

2x - y = -1
3x + 2y = 9

multiply both sides of the first equation by 2 and leave the second equation as is to get:

4x - 2y = -2
3x + 2y = 9

add the equations together to get:

7x = 7

solve for x to get:

x = 1

solve for y in the second equation to get:

3 + 2y = 9
dubtract 3 from both sides of the equation to get:
2y = 6
solve for y to get:
y = 3

solution is x = 1 and y = 3 *****

replace x and y in both original equations to get:

2x - y = -1 becomes 2 - 3 = -1 which becomes -1 = -1 which is true.

3x + 2y = 9 becomes 3 + 6 = 9 which becomes 9 = 9 which is true.

solution is confirmed to be good.
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