Example

Title: Proportion

Grade: 8-a Lesson: S2-L6

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

Examples:

Solve for x \$(x + 3) : 5\$ = \$(x + 6) : 3\$

Step 1a

Convert the provided proportion into a fraction \$(x + 3) /5\$ = \$(x + 6) / 3\$.

Explanation: Here, converting proportion into a fraction \$(x + 3) /5\$ = \$(x + 6) / 3\$.

Step 1b

For this step, multiply the numbers using cross-multiplication
\$(x + 3)3\$ = \$(x + 6)5\$.
\$3x + 9\$= \$5x + 30\$.

Explanation: Here, after multiply the numbers then we get \$3x + 9\$= \$5x + 30\$.

Step 1c

In this step, \$5x - 2x = 30 - 9\$.
We are currently determining the value of x: 2x = 21.

Explanation: Here, after simplification we get \$2x = 21\$.

Step 1d

The value of x is 21 divided by 2, which equals 10.5.

Explanation: Here, after simplification we get x = 10.5.


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