Question

Question 2 (5 points)
(02.01 LC)
2x - 10
Solve:
= Bx (5 points)
-10
Ob
-1
Ос
2
Od
11

Answer 1

Answer:

B. -1

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define

$\frac{2x-10}{4} =3x$

Step 2: Solve for x

1. Multiply 4 on both sides:                    $2x-10=12x$
2. Subtract 2x on both sides:                 $-10=10x$
3. Divide 10 on both sides:                     $-1=x$
4. Rewrite:                                               $x=-1$

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x:                    $\frac{2(-1)-10}{4} =3(-1)$
2. Multiply:                               $\frac{-2-10}{4} =-3$
3. Subtract:                              $\frac{-12}{4} =-3$
4. Divide:                                 $-3 =-3$

Here we see that -3 does indeed equal -3.

∴ x = -1 is a solution of the equation.