Exercise 28 Page 8

Use the Multiplication Property of Equality.

w=-18, see solution.

Practice makes perfect

To solve the given equation for w, we need to isolate it by multiplying both sides of the equation by -3. We want to multiply by -3 because division and multiplication are inverse operations — they cancel each other out. This is allowed by the Multiplication Property of Equality.

w/-3=6

MultEqn

LHS * (-3)=RHS* (-3)

w/-3*(-3)=6(-3)

FracMultDenomToNumber

a/-3* -3 = a

w=6(-3)

MultPosNeg

a(- b)=- a * b

w=-18

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

w/-3=6

Substitute

w= -18

-18/-3? =6

DivNegNeg

- a/- b=a/b

18/3? =6

CalcQuot

Calculate quotient

6=6 ✓

Since substituting w=-18 resulted in an identity, our solution is correct.