Question

which of the following best describes the solution to the equation below?
$6x - 50 = -26$
a. exactly one real solution, $x = 4$
b. no real solutions
c. exactly one real solution, $x = -4$

Explanation:

Step1: Isolate the term with x

Add 50 to both sides of the equation \(6x - 50 = -26\).
\(6x - 50 + 50 = -26 + 50\)
Simplify: \(6x = 24\)

Step2: Solve for x

Divide both sides by 6.
\(\frac{6x}{6} = \frac{24}{6}\)
Simplify: \(x = 4\)

Answer:

A. exactly one real solution, \(x = 4\)