Solving Systems by Substitution

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

If a system of linear equations has one solution, what does this mean about the two lines?

• The lines intersect.

• It is the same line.

• The lines are parallel.

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

• intersecting lines

• parallel lines

• intersecting lines

How many sides are on a standard #2 pencil?

• 4

• 5

• 6

• 7

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

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.

One equation is already isolated. Which choice shows the correct substitution?

 $2x-3y=-1$  

 $y=x-1$  

•  $2x-3\left(x-1\right)=-1$  

•  $2x-3y=x-1$  

•  $2\left(x-1\right)-3y=-1$  

What did Babe Ruth wear underneath his baseball cap to help keep his head cool during games?

• Damp cloth

• Cabbage Leaf

• Homemade sweat band

• Cucumber slices

Solve the system by substitution.
 $2x+y=18$  

 $y=8$  

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Solve the system by substitution.

 $y=-2$  

 $4x-3y=18$  

•  $\left(3,\ -2\right)$  

•  $\left(3,\ 2\right)$  

•  $\left(-2,3\right)$  

•  $\left(2,\ 3\right)$