Exercise 26 Page 9

To solve the equation, we have to isolate g on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 4.3. This will eliminate the coefficient on the left-hand side and isolate g.

- 4.3g=25.8

DivEqn

.LHS /(- 4.3).=.RHS /(- 4.3).

- 4.3g/- 4.3=25.8/- 4.3

▼

a/b=.a /(- 4.3)./.b /(- 4.3).

FactorOut

Factor out (- 4.3)

- 4.3g/- 4.3=- 4.3(- 6)/- 4.3

ReduceFrac

a/b=.a /(- 4.3)./.b /(- 4.3).

g/1=- 6/1

DivByOne

a/1=a

g=- 6

To check that this solution is correct, let's substitute g= - 6 into the original equation and simplify.

- 4.3g=25.8

Substitute

g= - 6

- 4.3( - 6)? =25.8

MultNegNegOnePar

- a(- b)=a* b

4.3(6)? =25.8

Multiply

Multiply

25.8=25.8 ✓

Since the left-hand side and right-hand side are equal, g=- 6 is the correct solution.