Solving Equations Using Multiplication or Division
Division Property of Equality – Dividing each side of an equation by the same nonzero number
produces an equivalent equation
Multiplication Property of Equality ­ Multiplying each side of an equation by the same nonzero
number produces an equivalent equation.
∙ Multiplication will “undo” division
∙ Division will “undo” multiplication
Solve 3y = 33
Step 1 ­ Determine which operation
will “undo” and isolate the variable.
3y = 33
This is multiplication
THEREFORE
Division will “undo”
Step 2 ­ Perform the operation
3y
3
that will “undo” and
isolate the variable.
Remember to do the operation
to both sides of the equation.
= 33
3
y = 11
Step 3 ­ Check your answer 3y = 33
3 (11) = 33
33 = 33
Solve 12x = 11
Step 1 ­ This is division THEREFORE multiplication will “undo”
Step 2 ­ 12( 12x ) = 12(11)
x = 132
Step 3 ­
132
12
= 11
11 = 11
MA10
BI 3­4