In your own words, explain why solving 4=2x uses the divsion property of equality. provide an example with your explanation. (2 points)
The division property of equality states that if you divide both sides of an equation by the same nonzero number, the equation remains true. In the equation 4=2x, we want to solve for x, which means we want to isolate it on one side of the equation. We can use the division property of equality to divide both sides of the equation by 2, since 2 is a nonzero number.
Example: Let's say we have the equation 8=4x. To solve for x, we can use the division property of equality and divide both sides of the equation by 4. This gives us:
8/4 = (4x)/4
2 = x
Therefore, x is equal to 2.
The division property of equality states that if you have an equation and you divide both sides of the equation by the same non-zero number, the equation remains true.
In the equation 4=2x, we need to solve for x. To do this, we can apply the division property of equality by dividing both sides of the equation by 2, which is a non-zero number.
Step 1: Divide both sides by 2:
4/2 = (2x)/2
Step 2: Simplify:
2 = x
So, the solution to the equation 4=2x is x = 2.
Example:
Let's say we have the equation 6 = 3x, and we want to solve for x using the division property of equality.
Step 1: Divide both sides by 3:
6/3 = (3x)/3
Step 2: Simplify:
2 = x
Thus, the solution to the equation 6 = 3x is x = 2.
The division property of equality states that when you have an equation, you can divide both sides of the equation by the same non-zero number and still maintain equality. In other words, if a = b, then a/c = b/c (where c is a non-zero number).
To solve the equation 4 = 2x using the division property of equality, we want to isolate the variable x. Since x is being multiplied by 2, we can divide both sides of the equation by 2 to undo the multiplication.
Here's an example:
Step 1: Start with the equation 4 = 2x.
Step 2: Divide both sides of the equation by 2: (4/2) = (2x/2).
Step 3: Simplify the equation: 2 = x.
Now we have solved the equation and isolated the variable x. The division property of equality allowed us to divide both sides of the equation by 2, which helped us find the value of x.