Question

How do I solve 7 (r - 2) - 9 (r - 1) = 3 (5 - r) + (r - 8) ?

Answer 1

no solutions exist

Step-by-step explanation:

First, we expand the equation; this gives

`7r-14-9r+9=15-3r+r-8`

Next, we combine the like terms both on the left and the right-hand side.

`\begin{gathered} 7r-9r-14+9=15-8-3r+r \\ \Rightarrow-2r-5=7-2r \end{gathered}`

adding 2r to both sides gives

`-2r-5+2r=7-2r+2r`
`\Rightarrow-5=7`

which is not true. Hence, no value of r satisfies the equation, and therefore, no solution exists.