SOLUTION: The first of two numbers added to two times the second equals9. The first number decreased by the second equals 3. Find the numbers.

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Question 310692: The first of two numbers added to two times the second equals9. The first number decreased by the second equals 3. Find the numbers.
Found 2 solutions by texttutoring, JBarnum:
Answer by texttutoring(324) (Show Source):
You can put this solution on YOUR website!
Let x = the first number
Let y = the second number

use the given information to come up with 2 equations:

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

Rearrange Equation 2 so that it is isolated for x:
x = 3+y

Plug this value into equation 1, instead of x:

(3+y) + 2y = 9
3 + 3y = 9
3y = 6
y=2

From equation 2, we know that x = 3+y

x=3+2
x=5

The two numbers are 5 and 2.

Answer by JBarnum(2146) (Show Source):
You can put this solution on YOUR website!
x=first number
y=second number
x+2y=9
x-y=3