HELP ME!!!!!

One Solution

No Solutions

Infinitely Many Solutions

Equation

3 - 5x+ 5

7x-3 = 7x+ 5

7x-3 -

Use properties of equality

"Solve"

Check your solution

End Results

YOU TRY!!!

One Solution

No Solutions

Infinitely Many Solutions

Equation

+ 2) = 30

= 45 + 5 c

= 2a4

Use properties of equality

"Solve"

Check your solution

End Results

Identify linear equation solutions without solving

One Solution

No Solutions

Infinitely Many Solutions

Equation

3 - 5x+ 5

3

What can you say about the coefficients of the terms with x in the equation?

What can you say about the

o sta t on both sides of the equation?

In general,

Quick Write

What does it mean to have Que..EQ.LuiiQ.u in a linear equation?

What does it mean to have no solutions in a linear equation?

What does it mean to have iauite.u..na.uu..sgluticus in a linear equation?

Write an equation with Que-EQlu.CiQL n.Q-SQlU.-iQUS and infin itely many solutions.

One Solution

No Solutions

Infinitely Many Solutions

Begin with

Solution: Variable = Constant

False Statement: Constant = Different Constant

True Statement: Constant = Constant

Use properties of equality

add, subtract, Inultiply or divide by the sanie nunmber on both sides

add, subtract, rnultiply or divide by the satne variable on both sides

add, subtract, Inultiply or divide by the saine variable on both sides

Make another change using the distributive property

add, subtract, multiply or divide by-the-another

umb

t

add, subtract, multiply or divide bybe-same.nuxnber on both sides

add, subtract, multiply or divide by the saine

u be

End Results

SPECIAL CASE x O is a one solution answer

One Solution

One Solution

One Solution

Equation

+ 12 X 12

You

True Statement:

Variable = Zero

Use properties of equality

"Solve"

add, subtract, Inultiply or divide by-the-same variable on both sides

Check your solution

add, subtract, tnultiply or divide by.tlxesame

u

End Results

Note: If the coefficients of x are different and the value of the constants are the same, the ONLY SOLUTION IS x =