Question

How do you find this answer-1 7/9 = -2 5/6 + 1/3(×)

Answer 1

In order to solve this equation for x, first let's convert the mixed numbers into improper fractions:

`\begin{gathered} -1(7)/(9)=-(1+(7)/(9))=-((9)/(9)+(7)/(9))=-(16)/(9) \\ -2(5)/(6)=-(2+(5)/(6))=-((12)/(6)+(5)/(6))=-(17)/(6) \end{gathered}`

Now, solving the equation for x, we have:

`\begin{gathered} -(16)/(9)=-(17)/(6)+(x)/(3) \\ -(32)/(18)=-(51)/(18)+(6x)/(18) \\ -32=-51+6x \\ 6x=-32+51 \\ 6x=19 \\ x=(19)/(6) \end{gathered}`

Therefore the value of x is 19/6.