Systems of Equations with Two Variables

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3,-9)

• (-9,-3)

• (-3,9)

• (9,-3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using the substitution method

• (-2,6)

• (6,-2)

• (-2,4)

• (4,-2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the second step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the third step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Solve one equation for one of its variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• Intersecting lines

• Parallel Lines

• No lines

• The same line twice

Tags

CCSS.8.EE.C.8A

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

  Show

Tags

CCSS.8.EE.C.8B

Solve for x and y using the substitution method.

5x + 3y = 7

y = 4

• (4,1)

• (4,-1)

• (1,4)

• (-1,4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by using the substitution method

• (3,6)

• (6,3)

• (1,4)

• (4,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6