Example

Title: Linear Equations with One Variable

Grade: 10-a Lesson: S1-L1

Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Solve the equation: 5x - 3 = 12.

Step 1a

Here’s an example of a linear equation with one variable:
5x - 3 = 12

In this equation, x is the variable. To solve for x, to isolate it on one side of the equation.

First, let’s add 3 to both sides of the equation to eliminate the - 3 term:
5x - 3 + 3 = 12 + 3

This simplifies to:
5x = 15

Next, isolate x by dividing both sides of the equation by 5:
\$(5x)/5 = 15/5\$

This simplifies to:
x = 3
Therefore, the solution to the linear equation is x = 3.

Explanation: Here’s a linear equation in one variable. Add 3 to both sides to cancel out - 3, then solve for x = 3.


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