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

18x - 9 = 72

3(6x - 3) = 72

x = 4.5

Explanation:

Answer 2

18x - 9 = 72

3(6x - 3) = 72

x = 4.5

Explanation:

Given equation:

`(3)/(5)\left(30x-15\right)=72`

Separate the fraction:

`\implies 3 \cdot (1)/(5)\left(30x-15\right)=72`

Multiply the terms inside the parentheses by 1/5:

`\implies 3\left((1)/(5)\cdot30x-(1)/(5)\cdot 15\right)=72`

`\implies 3\left(6x-3\right)=72`

Expand the brackets:

`\implies 3\cdot6x-3\cdot3=72`

`\implies 18x-9=72`

Add 9 to both sides of the equation:

`\implies 18x-9+9=72+9`

`\implies 18x=81`

Divide both sides pf the equation by 18:

`\implies (18x)/(18)=(81)/(18)`

`\implies x = 4.5`

Therefore, the three equations that have the same value as the given equation are:

• 18x - 9 = 72
• 3(6x - 3) = 72
• x = 4.5