BackThe equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 4/(x2 + 3x - 10) - 1/(x2 + x - 6) = 3/(x2 - x - 12)
Evaluate x2 - x for the value of x satisfying 4(x - 2) + 2 = 4x - 2(2 - x).
In Exercises 99–106, solve each equation. [(3 + 6)2 ÷ 3] × 4 = - 54 x
Solve each equation. 5 - 12x = 8 - 7x - [6 ÷ 3(2 + 53) + 5x]
In Exercises 99–106, solve each equation. 0.7x + 0.4(20) = 0.5(x + 20)
Solve each equation. 4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)
What is an identity equation? Give an example.
What is a conditional equation? Give an example.
What is an inconsistent equation? Give an example.
Find b such that (7x + 4)/b + 13 = x has a solution set given by {- 6}.
After a 30% price reduction, you purchase a 50″ 4K UHD TV for \$245. What was the television's price before the reduction?
In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = 2lw + 2lh + 2wh for h
In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = C/(1 - r) for r
In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = P + Prt for r