Solving Equations

When you solve an equation, you always DO THE SAME THING

to both sides of the equation

y + (-4) = -8 + 4 +4

Wait for the BB message before taking notes!

First you look to see what is “happening” to the variable

Then you use inverse

operations to get the variable by itself

Multiplication Equations

3y = 9What is happening to the variable?

It’s being multiplied by 3How do you “undo” multiplying by

3?Divide BOTH SIDES of the equation by 3

Solving using proper steps

3y = 93y = 9 3 3

Since y times 3 divided by 3 is just y…

y = 3

Try these…

-6m = 36 5n = -20

check your solution…

divide both sides by -6

divide both sides by 5

-6(-6) = 36? yep! 5(-4) = -20? yep!

m = -6 n = -4

Division Equations

What is happening to the variable?It’s being divided by 4

How do you “undo” dividing by 4?

Multiply BOTH SIDES of the equation by 4

124k

Use steps…

Since k divided by 4 times 4 is just k…

124k

4 12( )4

4k

48k

Try these…

check your solution…

56b

83h

multiply both sides by 6

multiply both sides by -3

Burrito Books!

To solve an equation like this: divide both sides of the equation by 5

5 105 5

... 2

n

n

5 10n

Burrito Books!

To solve an equation like this:

multiply both sides of the equation by 4

(4) 8(4)4

..... 32

n

n

84n

Why don’t we do this?:

84n

4 4

5 10n

÷5 ÷5

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