Question

Question

To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)

Answer 1

To find out what number should be added to both sides of the equation after dividing by 4.72, we need to isolate the variable x on one side of the equation.

Dividing both sides of the equation by 4.72, we get:

(x-6.56) = 10.4/4.72

Simplifying the right side of the equation, we have:

(x-6.56) = 2.2034

Now, to isolate x, we need to eliminate the -6.56 on the left side of the equation. We can do this by adding 6.56 to both sides of the equation.

Adding 6.56 to both sides:

x = 2.2034 + 6.56

Simplifying the right side of the equation, we get:

x = 8.7634

So, the number that should be added to both sides after dividing by 4.72 is 6.56.