Question

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

Answer 1

Answer: To solve the equation Three-fifths (30 x - 15) = 72, we can start by simplifying the left side of the equation by distributing the coefficient 3/5 to the terms inside the parenthesis:

Three-fifths (30 x - 15) = 72

18x - 9 = 72 (dividing both sides by 3/5)

Multiplying both sides of the equation by 5/3, we get:

10x - 5 = 24

10x = 29

x = 2.9

So the value of x for the original equation is x = 2.9.

Now we can test each option to see which equations have the same value of x:

18x - 15 = 72

18(2.9) - 15 = 40.2

This equation does not have the same value of x as the original equation.

50x - 25 = 72

50(2.9) - 25 = 125

This equation does not have the same value of x as the original equation.

18x - 9 = 72

18(2.9) - 9 = 40.2

This equation does not have the same value of x as the original equation.

3(6x - 3) = 72

3(6(2.9) - 3) = 72

This equation has the same value of x as the original equation.

x = 4.5

This equation does not have the same value of x as the original equation.

Therefore, the equations that have the same value of x as the original equation are:

3(6x - 3) = 72

x = 2.9

Explanation: