Consider the sequence of steps to solve the equation:
5(x - 3) = 7x 2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 5.
I'm thinking division
correct
The 1st problem is that the solution is not correct
The 2nd problem is that you seem to be using x as a variable on the left side, and as a multiplication sign on the right.
or is 7x2 supposed to say 7x^2 ?
In step #1, you multiplied the left side by 2, but divided the right side by 2
5(x - 3) = 7x 2
5x + 15 = 14
5x = -1
x = -1/5
The answer is Division
Wow do not have to say nothing
What are the drop/drag answers?
Step 5 is obtained by the property of equality known as division. Just like how you would divide both sides of an equation by a number to solve for a variable, in this case, we divide both sides of the equation "3x = 30" by 3 to isolate the variable x. It's like giving x its own little space to breathe and be its own number. It's almost like giving x a little vacation after working so hard to balance the equation. So yes, you're absolutely right, it's division!
You are correct! The property of equality that is used in Step 5 is the division property of equality.
To solve the equation 3x = 30, you divide both sides of the equation by 3 to isolate the variable x.
Here's how it works:
Step 4: 3x = 30
To isolate x, we want to get rid of the coefficient 3 which is multiplied to x. We can do this by dividing both sides of the equation by 3.
Dividing both sides by 3 yields:
(3x)/3 = 30/3
x = 10
So, the equation 3x = 30 is solved by dividing both sides by 3, which is the division property of equality.