Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Substitution

Step #1 Isolate a variable in one of the equations to get an expression

Solving Systems

Steps #2 Substitute that expression (from step #1) into the other equation.

Solving Systems

Step #3 Solve for the intersection point (x , y).

Solving Systems

step #4 write your answer as an order pair (x, y).

Multiple Choice

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Multiple Choice

Solve the following system:

 $y=-2$  

 $4x-3y=18$  

•  $\left(3,\ -2\right)$  

•  $\left(3,\ 2\right)$  

•  $\left(-2,3\right)$  

•  $\left(2,\ 3\right)$  

Multiple Choice

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Multiple Choice

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Multiple Choice

Solve the systems by substitution:

x = 4

-2x + 3y = -2

• (4, 6)

• (4, 4)

• (4, 2)

• 2, 4)

Multiple Choice

Solve the systems by substitution:

x = 3

x + y = 8

• (5, 3)

• (-5, 3)

• (3, 5)

• (3, -5)

Multiple Choice

Solve the systems by substitution:

y = 2x

x + y = 9

• (6, 2)

• (3, 6)

• (2, 6)

• (6, 3)

Multiple Choice

Solve the systems by substitution:

x = -4y

x - y = 15

• (-3, 12)

• (12, 3)

• (3, 12)

• (12, -3)

Match

Warm up: #3

Match the solution to the system of equations.

(-2, -1)

(2, -1)

(1, 4)

(-4, -1)

• (-2, -1)

• (2, -1)

• (1, 4)

• (-4, -1)