Solving Systems of Equations

The solution of the system of equations shown in the graph is _____.

Tags

CCSS.8.EE.C.8B

Solve the system by graphing:

y=3x+13

y=x-3

(Write your answer as an ordered pair)

Tags

CCSS.8.EE.C.8B

What does it mean to solve a system by substitution?

• Substitute different numbers for the variables until a combination works

• Solve for a variable in one equation, and then plug what it is equal to into the other equation

• Line the equations up and subtract them from each other to eliminate a variable

• Hire a substitute to do your math for you

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using substitution:

y=2x-1

2x+2y=22

(Write your answer as an ordered pair)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does it mean when a system of equations has no solutions?

• The two equations are actually the same line

• The two lines are parallel

• The two lines intersect at one point

• The two lines are perpendicular

Tags

CCSS.8.EE.C.8A

What does it mean when a system of equations has infinite solutions?

• The two equations are actually the same line

• The two lines are parallel

• The two lines intersect at one point

• The two lines are perpendicular

Tags

CCSS.8.EE.C.8B

What does it mean when a system of equations has one solution?

• The two equations are actually the same line

• The two lines are parallel

• The two lines intersect at one point

• The two lines are perpendicular

Answer explanation

Did you get it?

Don't forget that while two perpendicular lines do in fact have one solution, not every system of equations with one solution has two lines that are perpendicular!

Tags

CCSS.8.EE.C.8A

What is the first step to solving a system of equations by elimination?

• Make sure that the coefficients one of the variables (x or y) match in both equations

• Add the equations together

• Subtract the equations from each other

• Isolate one of the variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using elimination:

7x+y=6

5x+3y=34

(Write your answer as an ordered pair)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is your favorite method of solving systems of equations?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6