NafeesL148667 NafeesL148667
  • 03-11-2022
  • Mathematics
contestada

((x-j) ÷ k) + m =n what does x equal?

Respuesta :

AnnsleighJ50708 AnnsleighJ50708
  • 03-11-2022
[tex]x=nk-mk+j[/tex]

Explanation

[tex]\frac{x-j}{k}+m=n[/tex]

Step 1

subtract m in both sides

[tex]\begin{gathered} \frac{x-j}{k}+m=n \\ \frac{x-j}{k}+m-m=n-m \\ \frac{x-j}{k}=n-m \end{gathered}[/tex]

Step 2

multiply each side by k

[tex]\begin{gathered} \frac{x-j}{k}=n-m \\ \frac{x-j}{k}\cdot k=(n-m)\cdot k \\ x-j=(n-m)\cdot k \end{gathered}[/tex]

Step 3

finally, add j in both sides

[tex]\begin{gathered} x-j=(n-m)\cdot k \\ x-j=nk-mk \\ x-j+j=nk-mk+j \\ x=nk-mk+j \end{gathered}[/tex]

I hope this helps you

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