Question

Questions & Anwsers!?
1...6x/7-x/2 =5
x = 10
x = 5
x = 14
2...3/x-1 + 2/x =4
{0.25, 2}
{1/2, 2}
{1/2, 2}

Answer 1

# 1

6x/7-x/2 =5


14*6x/7-14*x/2 = 14*5


2*6x-7*x = 70


12x-7x = 70


5x = 70


x = 70/5


x = 14

Answer 2

Basic idea: multiply everything by the LCD to clear out the fractions. Then solve like normal

Answer 3

Use the same idea to solve #2

Answer 4

Let me know how it goes

Answer 5

i got 1

Answer 6

Is the problem in #2

\[\Large \frac{3}{x-1}+\frac{2}{x} = 4\]

???

Answer 7

ya

Answer 8

This one is trickier than I thought, one moment

Answer 9

ok i got 1/2 and 2

Answer 10

I'll show you how to do this one

Answer 11

Ok

Answer 12

\[\Large \frac{3}{x-1}+\frac{2}{x} = 4\]


\[\Large 3x+2(x-1) = 4x(x-1)\]


\[\Large 3x+2x-2 = 4x^2-4x\]


\[\Large 5x-2 = 4x^2-4x\]


\[\Large 0 = 4x^2-4x-5x+2\]


\[\Large 0 = 4x^2-9x+2\]


\[\Large 4x^2-9x+2 = 0\]


\[\Large (x-2)(4x-1) = 0\]


\[\Large x-2=0 \ \text{ or } 4x-1=0\]


\[\Large x=2 \ \text{ or } x=\frac{1}{4}\]


So the solution set is {0.25, 2}


since 1/4 = 0.25