Consider the sequence of steps to solve the equation:
5(x - 3) = 7x2
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 gets us from Step 3 to Step 4.
The property of equality used to get from Step 3 to Step 4 is the addition property of equality. This property allows us to add the same value to both sides of an equation, in this case adding 30 to both sides.
wich one
I apologize for the confusion. The property used is the addition property of equality.
The property of equality that gets us from Step 3 to Step 4 is the addition property of equality.
The property of equality that gets us from Step 3 to Step 4 is addition property of equality.
In Step 3, we have the equation 3x - 30 = 0. To isolate the variable x, we want to get rid of the constant term -30.
To do this, we use the addition property of equality, which states that if we add the same number to both sides of an equation, the equality is still maintained.
In this case, we add 30 to both sides of the equation:
3x - 30 + 30 = 0 + 30
Simplifying the equation, we get:
3x = 30
Now, the equation is simplified and we have successfully isolated the variable x. We can move on to the next step, Step 4, which is solving for x.