You can put this solution on YOUR website! Steps to solve a system of equations by the substitution method:
In general, if you solve a system of equations and the result is a true statement, such as , the system has many ; if the result is a false statement, such as , the system has .
We will start with an example to show the steps in solving a system of equations by the substitution method:
Use substitution to solve the system of equations #-> and #-> .
Step 1:
Solve one of the equations for or . Let it be: solve for from equation # since the coefficient of is .
Step 2:
Substitute this value into the other equation. Use the #equation. . use the # equation. ..substitute for .. distribute
Step 3:
Solve this equation. .. solve for ..divide both sides by
Step 4:
Find the value of the other variable using substitution into either equation. . use the # equation substitute for .solution for
The solution to the is:
(,) = (,)
Check: Substitute for and for in each of the original equations and check for true statements.
