Solving Systems of Equations with Multiple Solutions

Two or more linear equations with the same variables

• Set of Linear Equations

• System of Linear Equations

• Process of Linear Equations

• Multiple Linear Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Lines who's graphs intersect infinitely many times

• System of equations

• Coincident Lines

• Parallel Lines

• Perpendicular Lines

Tags

CCSS.8.EE.C.8B

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Tags

CCSS.8.EE.C.8A

A system of equations with infinitely many solutions will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Tags

CCSS.8.EE.C.8A

Which image shows a system of linear equations with infinitely many solutions?

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Tags

CCSS.8.EE.C.8A

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

Tags

CCSS.8.EE.C.8A

Determine the value of k if the equation has infinitely many solutions.

k(7x + 4) = 10 + 28x + 6

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.C.7A

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

Tags

CCSS.8.EE.C.8A

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8A