Question

Solve for v -9v+49=-2(v-7)

Answer 1

The solution for v-9v+49=-2(v-7) is $\bold{v=\frac{35}{6}}$ or 5.83(decimal form)  

Solution:

Solving right hand side: multiply -2 with terms inside the bracket  

                                        v - 9v + 49 = -2v + 14

Move the terms from right hand side to left hand side. On moving a negative signed number from RHS to LHS, it becomes positive signed number.

Similarly, moving positive signed number from RHS to LHS, it becomes negative signed number.

                                        v - 9v + 49 + 2v - 14 = 0  

                                        v -9v + 2v + 49 - 14 = 0

                                        -8v + 2v + 49 - 14 = 0

                                         -6v + 35 = 0  

                                         -6v = -35  

                                         $v=-\frac{35}{-6}$

Negative sign on numerator and denominator cancels each other

                                        $v=\frac{35}{6}$

                                           v = 5.83