Question

determine whether the equation is a conditional equation, an identity, or a contradiction. give the solution set. 10(v + 1) - 4v = 3(2v + 4) - 14 is the equation a conditional equation, an identity, or a contradiction? a. identity b. contradiction c. conditional equation

Explanation:

Step1: Expand both sides

$10v + 10 - 4v = 6v + 12 - 14$

Step2: Simplify left side

$6v + 10 = 6v + 12 - 14$

Step3: Simplify right side

$6v + 10 = 6v - 2$

Step4: Subtract $6v$ from both sides

$10 = -2$

Answer:

B. contradiction
The solution set is $\emptyset$ (empty set)