Solving by Substitution Method Steps

When is the substitution method most useful in solving a system of equations?

• When both equations are already solved

• When the equations are not related

• When the variables are not known

• When one of the equations can be easily solved for one variable

Solve the following system of linear equations:

Answer explanation

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

Solve using Substitution

• (3,8)

• (8,3)

• (0,2)

• (2,0)

Solve the system of equation using substitution.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system of equation using substitution.
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

What is the best method for solving this system of equations?

• Substitution

• Elimination

• Graphing

• Dunking

What is the best method for solving this system of equations?

• Graphing

• Googling

• Elimination

• Substitution

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together