Answer:
5
Explanation:
{
3x−y=2
2x−y=3
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x−y=2,2x−y=3
Subtract 2x−y=3 from 3x−y=2 by subtracting like terms on each side of the equal sign.
3x−2x−y+y=2−3
Add −y to y. Terms −y and y cancel out, leaving an equation with only one variable that can be solved.
3x−2x=2−3
Add 3x to −2x.
x=2−3
Add 2 to −3.
x=−1
Substitute −1 for x in 2x−y=3. Because the resulting equation contains only one variable, you can solve for y directly.
2(−1)−y=3
Multiply 2 times −1.
−2−y=3
Add 2 to both sides of the equation.
−y=5
Divide both sides by −1.
y=−5
The system is now solved.
x=−1,y=−5