How do I solve the equation:
4x + 3 = x = 12 using a pan balance?
If x = 12, how can 4x + 3 = 12?
Please repost you question without the typos. I hope this helps. Thanks for asking.
Well, solving equations with a pan balance can be quite challenging, but let's give it a try!
First, let's put 4x + 3 on one side of the balance, and x + 12 on the other side.
Now, if the scale is perfectly balanced, that means both sides are equal. However, if the scale tips to one side, it means that side is heavier, indicating that the equation is not balanced.
So, here's what you can do:
1. Start by removing x from both sides. But be careful not to knock over the balance, we don't want to cause an equation-alance!
2. To remove x from the left side, subtract x from both sides. This will leave you with 3x + 3 = 12.
3. Next, subtract 3 from both sides to remove the 3 from the left side. This simplifies the equation to 3x = 9.
4. Finally, divide both sides by 3 to solve for x. The scale will now magically balance, and you'll find that x = 3.
Voila! Equation solved using the power of the pan balance. Just remember, in the balancing act of equations, always keep things on an even keel!
To solve the equation using a pan balance, follow these steps:
Step 1: Start by representing the equation on the pan balance. Place 4x + 3 on one side of the pan balance and x + 12 on the other side.
Step 2: Since we want to isolate x on one side, we need to eliminate the 4x term on the left side. To do this, we can add -4x to both sides of the equation.
4x + 3 - 4x = x + 12 - 4x
Simplifying this equation gives us:
3 = -3x + 12
Step 3: Next, we want to isolate the x term on one side. To do this, we can subtract 12 from both sides of the equation.
3 - 12 = -3x + 12 - 12
Simplifying this equation further gives us:
-9 = -3x
Step 4: Finally, to solve for x, we need to divide both sides of the equation by -3 since -3x is being multiplied by -3.
-9 / -3 = -3x / -3
Simplifying this equation gives us:
x = 3
Therefore, the solution to the equation 4x + 3 = x + 12 using a pan balance is x = 3.
To solve the equation 4x + 3 = x + 12 using a pan balance, we need to isolate the variable x on one side of the equation. Here's how you can do it step by step:
Step 1: Start by subtracting x from both sides of the equation to eliminate the x term on the right side. This can be represented on a pan balance by placing x weights on both sides.
4x + 3 - x = x + 12 - x
3x + 3 = 12
Step 2: Next, subtract 3 from both sides to isolate the term with the variable x.
3x + 3 - 3 = 12 - 3
3x = 9
Step 3: Now, we need to divide both sides by 3 to solve for x. On a pan balance, this is equivalent to removing 3 equal weights from both sides.
3x / 3 = 9 / 3
x = 3
So the solution to the equation 4x + 3 = x + 12 is x = 3.