Solve by Substitution x-y=3 , 2x-y=4

Problem

{[x−y=3],[2*x−y=4])

Solution

1. Isolate one variable in the first equation. We can solve for x by adding y to both sides.

x=y+3

2. Substitute the expression for x into the second equation.

2*(y+3)−y=4

3. Distribute the constant into the parentheses.

2*y+6−y=4

4. Combine like terms to solve for y

y+6=4

5. Subtract 6 from both sides to find the value of y

y=−2

6. Substitute the value of y back into the isolated equation for x

x=−2+3

7. Simplify to find the value of x

x=1

Final Answer

(x,y)=(1,−2)

Want more problems? Check here!