Question

5 Which equations have the same value of x as 6 2 3 -9? Select three options. -9(6) 5x+4=-54 5x+4=-9 5x=-13 5X=-58

Answer 1

The given equation is-

`(5)/(6)x+(2)/(3)=-9`

If we multiply the equation by 6, we would have the same value for the variable x since we are multiplying the same number on each side. So, the second choice is an equivalent equation to the given one.

Let's multiply by 6.

`\begin{gathered} 6\cdot(5)/(6)x+6\cdot(2)/(3)=-9\cdot6 \\ 5x+4=-54 \end{gathered}`

So, the third expression is also an equivalent expression.

Then, let's subtract 4 on each side.

`\begin{gathered} 5x+4-4=-54-4 \\ 5x=-58 \end{gathered}`

The last choice is also an equivalent expression.

Therefore, the right choices are 2, 3, and 6.