Question

determine whether each equation is an identity, a conditional equation, or a contradiction. give the solution set. 16x - 13 = 5(3x + 4) - 7 is the equation a conditional equation, an identity, or a contradiction? a. conditional equation b. identity c. contradiction select the correct choice below and fill in any answer boxes present in your choice. a. the solution set is (type an integer or a fraction. use a comma to separate answers as needed.) b. the solution is all real numbers. c. the solution is the empty set.

Explanation:

Step1: Expand the right - hand side

$16x - 13=5(3x + 4)-7=15x+20 - 7=15x + 13$.

Step2: Solve for x

Subtract $15x$ from both sides: $16x-15x-13=15x - 15x+13$, which simplifies to $x-13 = 13$. Then add 13 to both sides: $x=13 + 13=26$. Since there is a single solution for $x$, it is a conditional equation.

Answer:

A. conditional equation
A. The solution set is $\{26\}$