High School

Solve [tex]1.5x = 9[/tex] for [tex]x[/tex].

A. [tex]x = 10.5[/tex]
B. [tex]x = 9[/tex]
C. [tex]x = 6[/tex]
D. [tex]x = 7.5[/tex]

Answer :

To solve the equation [tex]\(1.5x = 9\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Identify the Equation: You have the equation [tex]\(1.5x = 9\)[/tex].

2. Isolate [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], you need to isolate it on one side of the equation. Since [tex]\(x\)[/tex] is currently being multiplied by 1.5, you can isolate it by dividing both sides of the equation by 1.5.

3. Division: Divide both sides by 1.5:
[tex]\[
x = \frac{9}{1.5}
\][/tex]

4. Calculate the Result: Perform the division:
[tex]\[
x = 6
\][/tex]

Therefore, the solution to the equation [tex]\(1.5x = 9\)[/tex] is [tex]\(x = 6\)[/tex], which corresponds to option C.