Exercise 44 Page 92

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to eliminate the fraction by multiplying both sides by 2 in order to isolate the variable term. Now, we can simplify the right-hand side of the equation.

d=2(16)/3-17

NumberToFrac

a = 3* a/3

d=2(16)/3-3(17)/3

Multiply

Multiply

d=32/3-51/3

SubFrac

Subtract fractions

d=32-51/3

SubTerms

Subtract terms

d=- 19/3

The solution to the equation is d= - 193. We can check our solution by substituting it into the original equation.

d+17/2=51/3

Substitute

d= - 19/3

- 193+17/2 ? = 51/3

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Evaluate

NumberToFrac

a = 3* a/3

- 193+ 3(17)3/2 ? = 51/3

MixedToFrac

a bc=a* c+b/c

- 193+ 3(17)3/2 ? = 5*3+1/3

Multiply

Multiply

- 193+ 513/2 ? = 15+1/3

AddFrac

Add fractions

- 19+513/2 ? = 15+1/3

DivFracD

a/c/b= a/b* c

- 19+51/2(3) ? = 15+1/3

Multiply

Multiply

- 19+51/6 ? = 15+1/3

AddTerms

Add terms

32/6 ? = 16/3

ReduceFrac

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

16/3 = 16/3

Since the left-hand side is equal to the right-hand side, our solution is correct.