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Mega 1.6 Ferenc

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Question

Exercise 6
Solve the following equation.

Answer

m=4

Hint

Start with expanding the expressions on both sides.

Solution

We need to find the value of m for which the two sides evaluate to the same number. We start with expanding the expressions on both sides of the equality.
3(3m−2)=2(3m+3)
Distr

Multiplicera in

9m−6=6m+6
Next we use inverse operations to isolate m.
9m−6=6m+6
SubEqn

VL−6m=HL−6m

9m−6m−6=6
AddEqn

VL+6=HL+6

9m−6m=12
FactorOut

LHS: Bryt ut m

(9−6)m=12
SubTerm

LHS: Förenkla termer

3m=12
DivEqn

m=4
Hence, the value that makes the equality true is m=4.
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