Question

Draw a diagram that represents 3x = 30 - 6

Answer 1

Keep in mind that usually shaded/ colored units tend to represent negative quantities. I apologize for the sloppy formatting of the diagram. Hope it was useful.


First step to solve for x is combining like terms, in this case 30-6 are the like terms.

After completing this step, the equation is 3x=24.

Now, we have to get 3 away from x. This is also called isolating the variable. To get it away you have to preform the inverse/ opposite of multiplication, which is division.

Then, dividing both sides of the equation by three is key.
The results should be x=8

Remember that you can always plug in your solution to assure your answer is accurate.

Answer 2

x=8

Explanation:

sorry I can't physically draw images or diagrams. However, I can help you solve the equation and describe how you might represent it visually.

The equation is

3x=30−6

3x=30−6. To solve for x

x:

Combine like terms on the right side:

3x=24

3x=24.

Divide both sides by 3 to isolate x

x: x=8

x=8.

If you want to represent this equation graphically, you could create a simple coordinate system with the x-axis and y-axis. Plot the points where

x=8

x=8 on the x-axis, and you'll have a vertical line passing through

x=8. However, since this is a linear equation, a single point is usually sufficient to represent it graphically.