Question

Solve and check: -15+6z=-8z+13

Answer 1

The given equation is,

`-15+6z=-8z+13`

The objective is to solve the value of z and check the solution.

`\begin{gathered} -15+6z=-8z+13 \\ 6z+8z=13+15 \\ 14z=28 \\ z=(28)/(14) \\ z=2 \end{gathered}`

Hence, the value of z is 2.

Let's check the solution by substituting the value of z in the given equation.

`\begin{gathered} -15+6z=-8z+13 \\ -15+6(2)=-8(2)+13 \\ -15+12=-16+13 \\ -3=-3 \end{gathered}`

Since, LHS=RHS.

Hence, the value of z is correct.