using buttons of different colours ,find the solution of 5x-6=9
With or without buttons, add 6 to both sides.
5x = 15
Divide both sides by 5.
To solve the equation 5x - 6 = 9, we can use buttons of different colors to represent the values. Let's assign blue buttons for x, green buttons for 5, red buttons for -6, and yellow buttons for 9. Here's how we can solve it using buttons:
Step 1: Start with 5x, represented by green buttons:
- Place 5 green buttons in a row: | | | | |
Step 2: Subtract 6, represented by red buttons:
- Take away 6 red buttons from the end: | | | | |
Step 3: We have 9 remaining, represented by yellow buttons:
- Add 9 yellow buttons at the end: | | | | | | | | |
Step 4: Divide both sides by 5 to isolate x:
- Divide the green buttons into groups of 5: | | | | | |
- Count how many groups there are: x = 3
So, the solution to the equation 5x - 6 = 9 is x = 3.