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)
To reverse the multiplication by dividing by 4.72, the equation becomes:
(x - 6.56) = 10.4/4.72
To find the number that should be added to both sides of the equation, we need to isolate x.
Adding 6.56 to both sides, the equation becomes:
(x - 6.56) + 6.56 = 10.4/4.72 + 6.56
Simplifying the right side, the equation becomes:
x = 6.56 + 10.4/4.72
To solve the equation 4.72(x - 6.56) = 10.4, the first step is indeed to reverse the multiplication by dividing both sides of the equation by 4.72.
Dividing both sides by 4.72:
(4.72(x - 6.56))/4.72 = 10.4/4.72
Simplifying the equation on the left side:
(x - 6.56) = 10.4/4.72
Now, to isolate the variable x, you need to eliminate the constant term (-6.56) on the left side by adding its opposite to both sides of the equation.
Adding 6.56 to both sides:
(x - 6.56) + 6.56 = 10.4/4.72 + 6.56
Simplifying the equation:
x = (10.4/4.72) + 6.56
Therefore, the number that should be added to both sides of the equation after dividing by 4.72 is 6.56.
To reverse the multiplication by dividing by 4.72, we need to divide both sides of the equation by 4.72.
The equation is:
4.72(x - 6.56) = 10.4
To isolate the variable x, we divide both sides of the equation by 4.72:
(4.72(x - 6.56))/4.72 = 10.4/4.72
Simplifying the left side, we have:
x - 6.56 = 10.4/4.72
Now, to isolate x, we need to get rid of the -6.56 term on the left side of the equation. To do this, we add 6.56 to both sides:
(x - 6.56) + 6.56 = (10.4/4.72) + 6.56
Simplifying the left side, we have:
x - 6.56 + 6.56 = (10.4/4.72) + 6.56
The number that should be added to both sides is 6.56.