Question

Solve the equations

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Answer 1

Step-by-step explanation:

a)

$7+3v=6(3+v) \\ 7+3v=18+6v \\ 7+3v-6v=18 \\ 7-3v=18 \: \: \: \: \: \: \: \: \: \: \\ -3v=18-7 \: \: \: \: \: \: \: \\ v=\frac{11}{-3}=-\frac{11}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

b)

$\frac{ 2x-4 }{ 8x+1 } = \frac{ 3 }{ 7 } \\ 7\left(2x-4\right)=3\left(8x+1\right) \\ 14x-28=3\left(8x+1\right) \\ 14x-28=24x+3 \\ 14x-28-24x=3 \\ -10x-28=3 \\ -10x=3+28 \\ -10x=31 \\ x=\frac{31}{-10} \\ x=-\frac{31}{10}$