The substitution method is used to solve the system of equations 2x - y = 3 and x + 2y = 4. By solving the second equation for x and substituting it into the first equation, the value of y is found to be 1. Substituting y = 1 back into one of the original equations gives the value of x as 1. Therefore, the solution is the point (1,1).

1. Solving SystemsSubstitution Method

2. Solving by Substitution2x - y = 3x + 2y = 4

3. Step 1:Solve for one variable x + 2y = 4Subtract 2y to get x by itself x = -2y + 4

4. Step 2:Now substitute the equation from step one into the other original equation2(-2y + 4) - y = 3-4y + 8 - y = 3 -5y + 8 = 3 -5y = -5y = 1

5. Step 3Now that you have solved for y, substitute it back into one of the original problems to find x. 2x - 1 = 32x = 2x = 1

6. Answer*Now your point is (1, 1).