1.3- Solving equations with variables on both sides

Equations With Variables on Both Sides-

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Things to Consider

• Think about PEMDAS
• Get variables on one side

Special Solutions of Linear Equations

• One solution
• No solution
• Infinitely many solutions

Identity and No Solution

-If an equation is right for all values there are infinite solutions.

-Vice versa for no solution

2

Example

x=

Example

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20 - 7x = 6x - 6

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Here you could explain the topic of this section

Real Life Problem

Two people have a pool. Pool A already has 50 gallons and 6 gallons get added every minute. Pool B has 70 gallons in the pool with 2 gallons get added every minute. When will the pools be filled at the same amount?

5 minutes

At Green Bank if you start with $90 you get an interest rate of $5 every year. At Yellow Bank if you start at $50 you get interest rate of $7 every year. What year will you have the same amount of money?

Real Life Problem

20 years

Try some on your own!

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x-6=-2x+3

x=3

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6x-4=3x+2

x=2

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5x-2=28-x

x=5