Question

To solve the equation 5/8(x − 1/2) = 10, the first step is to reverse the multiplication. What number should both sides be divided by? (1 point)

Answer 1

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 2

What is the solution of the equation 8/9 (x + 1/2) = 32/3 when solving for x ?(1 point)

Answer 3

To reverse the multiplication, we need to divide both sides of the equation by (5/8). So the number that both sides should be divided by is (5/8).

Answer 4

After dividing both sides of the equation by 4.72, the next step is to simplify the equation and isolate the variable on one side. However, no number should be added to both sides in this step. The goal is to get the variable, x, alone on one side of the equation by performing inverse operations.

Answer 5

To solve the equation, we need to isolate the variable x on one side of the equation.

Starting with 8/9(x + 1/2) = 32/3, we can solve it step by step:

1. Distribute the 8/9 to the terms inside the parentheses:
(8/9)x + (8/9)(1/2) = 32/3

2. Simplify the right side:
(8/9)x + 4/9 = 32/3

3. Subtract 4/9 from both sides to isolate (8/9)x:
(8/9)x = 32/3 - 4/9

4. Find a common denominator to combine the fractions on the right side:
(8/9)x = (32/3)(3/3) - (4/9)(3/3)
(8/9)x = 96/9 - 12/9
(8/9)x = 84/9

5. Divide both sides by 8/9 to solve for x:
x = (84/9)/(8/9)

6. Simplify the right side by multiplying by the reciprocal of 8/9:
x = (84/9)(9/8)
x = 7

Therefore, the solution to the equation is x = 7.