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valina [46]
3 years ago
8

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

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

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

<u>Solution:</u>

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  

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