Exercise 19 Page 153

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we start by multiplying both sides of the equation by 100. The solution to the equation is t= 27385. We can check our solution by substituting it into the original equation.

3.4t+0.08=11

Substitute

t= 273/85

3.4\cdot{\color{#0000FF}{\dfrac{273}{85}}}+0.08\stackrel{?}=11

MoveLeftFacToNum

a*b/c= a* b/c

3.4* 273/85+0.08? =11

Multiply

Multiply

928.2/85+0.08? =11

CalcQuot

Calculate quotient

10.92+0.08? =11

AddTerms

Add terms

11=11

Since the left-hand side is equal to the right-hand side, our solution is correct. Although, t=273/85 is a correct solution, we can rewrite it as a mixed number.

273/85

Rewrite

Rewrite 273 as 255+18

255+18/85

WriteSumFrac

Write as a sum of fractions

255/85+18/85

CalcQuot

Calculate quotient

3+18/85

AddTerms

Add terms

3 1885