3. Solve Equations with Rational Coefficients - 6. Equations and Inequalities

k = 2

Practice makes perfect

To solve the equation, we have to isolate k on one side. Using the Division Property of Equality, we will divide both sides of the equation by 1.6. This will eliminate the multiplication and isolate k.

1.6k = 3.2

.LHS /1.6.=.RHS /1.6.

1.6k/1.6 = 3.2/1.6

Cancel out common factors

1.6k/1.6 = 3.2/1.6

Simplify quotient

k = 3.2/1.6

Calculate quotient

k = 2

To check that this solution is correct, let's substitute k = 2 into the original equation and simplify.

1.6k = 3.2

k= 2

1.6( 2)? =3.2

3.2 = 3.2 ✓

Since the left-hand side and right-hand side are equal, k = 2 is the correct solution.

Exercise 1 Page 460