Question

Put the 10 steps in order that are used to solve the following systems of equations by substitution.
−7x−2y=−13

x−2y=11

Answer 1

1. Solve one equation for one variable in terms of the other variable.
2. Substitute this expression into the other equation.
3. Simplify the resulting equation by distributing and combining like terms.
4. Solve this simplified equation for the remaining variable.
5. Substitute this value back into the expression from step 1 to solve for the other variable.
6. Check the solution by substituting the values of x and y into both original equations.
7. If the values satisfy both equations, then the solution is correct. If not, double-check the work and try again.
8. If the solution is correct, write the solution as an ordered pair (x, y).
9. If there is no solution, write "no solution" or "inconsistent system."
10. If the two equations are identical, write "infinitely many solutions" or "dependent system."