Question

4. Solve each equation for x. (8 points: 2 points each)a.) 3x-12y=27b.) 6x-7y=-2c.) 4x-k=17d.) kx+c=9

Answer 1

A) The initial equation is:

`3x-12y=27`

now to solve for x, we have to add 12y in bout sides and divide by 3 so:

`\begin{gathered} 3x=27+12y \\ x=(27+12y)/(3) \\ x=9+4y \end{gathered}`

B) the inital equation is:

`6x-7y=-2`

To solve it we have to add 7y and divide by 6 so:

`\begin{gathered} 6x=-2+7y \\ x=(-2+7y)/(6) \end{gathered}`

C) the initial equation is:

`4x-k=17`

To solve it we have to add k and divide by 4 so:

`\begin{gathered} 4x=17+k \\ x=(17+k)/(4) \end{gathered}`

D) the initial equation is:

`kx+c=9`

To solve it we have to rest c and divide by k so:

`\begin{gathered} kx=9-c \\ x=(9-c)/(k) \end{gathered}`