SOLUTION: what are the steps when solving an equation using substitution

Algebra.Com
Question 117668: what are the steps when solving an equation using substitution
Answer by MathLover1(20850)   (Show Source): 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.
RELATED QUESTIONS

what are the steps when solving an equation using... (answered by checkley71)
What are the steps to solving a system using substitution. example: y=x+2 y=2x-1. (answered by checkley71)
What are the steps to solving an equation with variables on both... (answered by mananth)
What are the steps you need to take when solving this equation: 2(x - 2) = x + 3... (answered by funmath)
what are the steps for solving for x when x has an exponent. EX: -5x^2+20=0 (answered by Alan3354,ReadingBoosters)
Susan solved one system of equations using substitution and reached an answer of 0 = 20... (answered by richard1234)
Hello, I would like to know the steps in solving the following type of problem:... (answered by vleith)
what are the steps when using a graphing calculator to solve systems using inverse... (answered by bucky)
how do i figure out the x value (using substitution method) when the two equations given... (answered by Alan3354)