Solving Systems by Substitution

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.8.EE.C.8B

CCSS.HSA.REI.C.6

y = -2x + 5
y = 2x - 11

• No Solution
• (0, 0)
• (3, -1)
• (4, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system:

 $2x-y=-1$  

 $y=x-1$  

•  $\left(-2,-3\right)$  

•  $\left(4,\ 5\right)$  

•  $\left(5,\ 3\right)$  

•  $\left(3,\ 4\right)$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine how many solutions the system has.

• One Solution
• No Solutions
• Infinitely Many Solutions
• Mikey is my friend.

Tags

CCSS.8.EE.C.8B

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.9

Determine how many solutions the system has.
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions
• I am Spartacus!

Tags

CCSS.8.EE.C.8A