Exercise 9 Page 44

To solve the equation, we need to isolate the variable w on one side by using Properties of Equality. In this case, let's start by adding 4 to left- and right-hand sides of the equation.

6=1/5w+7/5w-4

AddEqn

LHS+4=RHS+4

10=1/5w+7/5w

AddFrac

Add fractions

10=8/5w

MultEqn

LHS * 5=RHS* 5

50=8/5w * 5

MoveRightFacToNum

a/c* b = a* b/c

50=40w/5

CalcQuot

Calculate quotient

50=8w

DivEqn

.LHS /8.=.RHS /8.

50/8=w

RearrangeEqn

Rearrange equation

w=50/8

ReduceFrac

a/b=.a /2./.b /2.

w=25/4

The solution to the equation is w= 254. We can check our solution by substituting it into the original equation and simplifying.

6=1/5w+7/5w-4

Substitute

w= 25/4

6? =1/5* 25/4+7/5 * 25/4 - 4

▼

Simplify LHS & RHS

MultFrac

Multiply fractions

6? =25/20+175/20-4

AddEqn

LHS+4=RHS+4

10? =25/20+175/20

AddFrac

Add fractions

10? =200/20

CalcQuot

Calculate quotient

10= 10 ✓

Because the left-hand side and right-hand sides are equal, we know that our solution is correct.