Solving Systems by Substitution

• Infinite number of solutions

• (0, 7)

• (-5, -7)

• (5, 7)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

• No Solution

• (2, 2)

• (-1, 2)

• (-1, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.HSA.REI.C.6

x = 3y -13

4x + 2y = 4

• (1, 4)

• (-1, -4)

• (-1, 4)

• (1, -4)

Tags

CCSS.HSA.REI.C.6

Solve the following system:

 $y=6x-11$  

 $2x+3y=7$  

•  $\left(2,\ 1\right)$  

•  $\left(1,\ 3\right)$  

•  $\left(2,\ 5\right)$  

•  $\left(3,\ 2\right)$  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the following system:

 $7x+\ 2y=13$  

 $x=2y+11$  

•  $\left(3,\ -4\right)$  

•  $\left(3,\ 4\right)$  

•  $\left(-3,\ -4\right)$  

•  $\left(-3,\ 4\right)$  

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Tags

CCSS.HSA.REI.C.6

Solve:

y = -1x - 5

4x - 8y = 4

• (-3, -2)

• (5, -7)

• (3, 9)

• (-5, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations.

• (-6, 1)

• (1, -6)

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11