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Example1

Title: Solve for a Variable in an Equation with Multiple Variables

Grade 6+ Lesson s3-l8

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

Examples

Topics → Definition Example1

Solve for y in the equation 4x + 2y = 10.

Step 1

Given equation is 4x + 2y = 10
Isolate the variables by subtracting -4x on both sides, we get
4x + 2y - 4x = 10 - 4x
2y = 10 - 4x

We need to isolate y, so we divide both sides by 2.
\$ y = (10 - 4x )/2 \$

We can simplify the expression on the right side further y = 5 − 2x.

Explanation:

Here we Isolate the variables by performing subtraction on both sides. Here we divided the equation by 2 on both sides. Therefore, the solution to the equation is y = 5 − 2x.