Exercise 14 Page 45

No solution

Practice makes perfect

We will solve this equation by using the Distributive Property twice. Let's start by distributing the 3 to the terms inside the parentheses on the left-hand side.

3(n+4)=1/2(6n+4)

Distr

Distribute 3

3* n+3*4=1/2(6n+4)

Distr

Distribute 1/2

3* n+3*4=1/2*6n+1/2*4

MoveRightFacToNum

a/c* b = a* b/c

3* n+3*4=6n/2+4/2

Multiply

3n+12=6n/2+4/2

CalcQuot

Calculate quotient

3n+12=3n+2

SubEqn

LHS-3n=RHS-3n

12≠2

Since 12 cannot be equal to 2, we have reached a contradiction. This means that there is no solution to this eqution.

Subchapter links

1 Solving Simple Equations p.44

2 Solving Multi-Step Equations p.44

3 Solving Equations with Variables on Both Sides p.45

4 Solving Absolute Value Equations p.45

5 Rewriting Equations and Formulas p.46

Exercise 14 Page 45

Hints

Check the answer

Practice exercises

Asses your skill