Math Problem Statement

How can we get Equation [B] from Equation [A]? \begin{aligned} A.&&3x-1&=7 \\ B.&&3x&=8 \end{aligned}

Solution

To derive Equation BB from Equation AA, follow these steps:

  1. Start with Equation AA:
    3x1=73x - 1 = 7

  2. Add 1 to both sides of the equation to eliminate the 1-1 on the left side:
    3x1+1=7+13x - 1 + 1 = 7 + 1

  3. Simplify both sides:
    3x=83x = 8

Now, you have Equation BB:
3x=83x = 8

This process involves isolating the term with xx on one side by removing the constant on the left side through addition.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations
Solving Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9