reply to and create a similar example and resolve it

Question

by Lounise Morissette - Tuesday, 12 November 2024, 9:47 PM
Number of replies: 1
Step 1:
Since 10x−8x10x - 8x10x−8x are like terms (both involve xxx), we can subtract the coefficients:

(10−8)x=12

(10 - 8)x = 12(10−8)x=12

2x=12

Step 2:
To isolate xx divide both sides of the equation by 2:

2x2=122\frac{2x}{2} = \frac{12}{2}22x​=212​

Simplifying:

x = 6x=6

Answer 1

Reply to Lounise Morissette:

Great job breaking down the problem step-by-step, Lounise! Your explanation makes it easy to follow how to combine like terms and isolate the variable. Here’s a similar example for practice:

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Example:

Step 1:
We start with the equation: \(12y - 5y + 3y = 27\).

First, combine the like terms (all involving \(y\)) by subtracting and adding the coefficients:

\((12 - 5 + 3)y = 27\)

Calculating the coefficients:

\((12 - 5 + 3)y = 10y = 27\).

Step 2:
Now, to isolate \(y\), divide both sides of the equation by 10:

\(\frac{10y}{10} = \frac{27}{10}\).

Simplifying gives:

\(y = 2.7\).

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So, the solution to this example is \(y = 2.7\). If you have any questions or need further clarification, feel free to ask!