Question

Select all the equations that are equivalent to the given equation 1/5 (20x - 35) = 9

A) 4x - 7 = 9
B) 4x - 7 = 45
C) 20x - 35 = 45
D) 4x - 35 = 9

Answer 1

To find the equivalent equations to 1/5 (20x - 35) = 9, distribute the 1/5 and simplify the expression. Solve for x to determine the equivalent equation. The correct answer is option A: 4x - 7 = 9.

Step-by-step explanation:

To find the equations that are equivalent to 1/5 (20x - 35) = 9, we need to simplify and solve the equation.

Step 1: Distribute the 1/5 to the terms inside the parentheses.
(1/5) * 20x - (1/5) * 35 = 9
4x - 7 = 9

Step 2: Add 7 to both sides of the equation to isolate the variable.
4x - 7 + 7 = 9 + 7
4x = 16

Step 3: Divide both sides of the equation by 4 to solve for x.
(4x)/4 = 16/4
x = 4

The equivalent equation to 1/5 (20x - 35) = 9 is 4x - 7 = 9. So, the correct answer is option A.