Exercise 69 Page 86

To solve the equation, we have to isolate n on one side. By multiplying both sides of the equation by 53, we can eliminate 35 and isolate the variable.

3/5n=-3/10

MultEqn

LHS * 5/3=RHS* 5/3

5/3* 3/5n=-3/10* 5/3

MultFracByInverse

a/b* b/a=1

n=-3/10*5/3

MultFrac

Multiply fractions

n=-15/30

ReduceFrac

a/b=.a /15./.b /15.

n=-15/15/30/15

CalcQuot

Calculate quotient

n=-1/2

MoveNegDenomToFrac

Put minus sign in front of fraction

n=-1/2

Therefore, n=- 12 is the solution to the equation. To check that we have the correct solution, we can substitute n=- 12 into the original equation and simplify.

3/5n=-3/10

Substitute

n= -1/2

3/5* ( -1/2)? =-3/10

MultFrac

Multiply fractions

-3/10=-3/10

Since the left-hand side and right-hand side are equal, we have the correct solution.