Question

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

Answer 1

The solution for v-9v+49=-2(v-7) is
`\bold{v=(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=-(35)/(-6)`

Negative sign on numerator and denominator cancels each other

`v=(35)/(6)`

v = 5.83