SOLUTION: the difference between two numbers is three, two times the first number plus the second number is 3, solve by graphing

Question 515358: the difference between two numbers is three, two times the first number plus the second number is 3, solve by graphing
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x -y = 3
so
x = y+3
and
y = x-3
.
2x + y = 3
so
y = -2x +3
.
So, we have two linear equations.
.

.
The intercept is (2,-1).
.
Check to ensure this is the solution for both equations.
.
y = x-3
y = 2-3
y = -1
.
y = -2(2) +3
y = -4 +3
y = -1
.
You also could set the two equations equal to one another.
x-3 = -2x +3
3x -3 = 3
3x = 6
x = 2
.
Substitute x=2 into either equation to find 'y'
.
2-3 = -1
.
Of course you could solve by adding the equations:
.
x -y = 3
2x + y = 3
------------
3x = 6
x = 2
.
And substitute to find 'y'
.
Done.
RELATED QUESTIONS
there are two numbers. twice the first number plus three times the second number is 72.... (answered by ankor@dixie-net.com)

Five times a number plus four times a second number equal to eighty-three. The difference (answered by matineesuxxx)

The difference between the squares of two numbers is 5.Three times the square of the... (answered by ikleyn)

The difference between the squares of two numbers is 3. Three times the square of the... (answered by Alan3354)

The difference between the first number and two times the second number is -54, while the (answered by fractalier)

The sum of two numbers is 20. The difference between three times the first number and... (answered by josgarithmetic,ankor@dixie-net.com,stanbon)

i think of two numbers, the first number plus three times the second number is 1, the... (answered by Alan3354)

Find three numbers whose sum is 32;, if the first number is three times the difference... (answered by josgarithmetic)

the difference of two numbers is 10. the difference of three times the first number and... (answered by josgarithmetic)