SOLUTION: Solve each ; Copy and paste link below to see the question please. http://prntscr.com/9oglxj Thank you

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Solve each ; Copy and paste link below to see the question please. http://prntscr.com/9oglxj Thank you       Log On


   

Question 1013110: Solve each ; Copy and paste link below to see the question please.
http://prntscr.com/9oglxj Thank you

Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1.
1%2F8%2B2%2Ft=17%2F8t

t%2F8t%2B16%2F8t=17%2F8t

%28t%2B16%29%2F8t=17%2F8t+ since denominators same, it will be true only if numerators same

t%2B16=17

t=17-16

t=1


2.
x%2F%28x-3%29%2Bx%2F2=6x%2F%282x-6%29

2x%2F2%28x-3%29%2Bx%28x-3%29%2F2%28x-3%29=6x%2F%282x-6%29

2x%2F%282x-6%29%2Bx%28x-3%29%2F%282x-6%29=6x%2F%282x-6%29

%282x%2Bx%28x-3%29%29%2F%282x-6%29=6x%2F%282x-6%29 since denominators same, it will be true only if numerators same

2x%2Bx%28x-3%29=6x

2cross%28x%29%2Bcross%28x%29%28x-3%29=6cross%28x%29

2%2B%28x-3%29=6

2%2Bx-3=6

x-1=6

x=6%2B1

x=7



Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
1).
1%2F8%2B2%2Ft=17%2F8t . Multiply by t
t%2F8%2B2=17%2F8
t%2F8%2B16%2F8=17%2F8
t%2B16=17
t=1
.
CHECK:
1%2F8%2B2%2Ft=17%2F8t
1%2F8%2B2%2F1=17%2F%288%281%29%29
1%2F8%2B16%2F8=17%2F8
17%2F8=17%2F8
.
2).
x%2F%28x-3%29%2Bx%2F2=%286x%29%2F%282x-6%29
%28x%2F%28x-3%29%29%282%2F2%29%2B%28x%2F2%29%28%28x-3%29%2F%28x-3%29%29=%286x%29%2F%282x-6%29
2x%2F%282x-6%29%2B%28%28x%29%28x-3%29%29%2F%282x-6%29=%286x%29%2F%282x-6%29
2x%2B%28%28x%29%28x-3%29%29=6x
%28x%29%28x-3%29=4x
x-3=4
x=7
.
CHECK:
.
x%2F%28x-3%29%2Bx%2F2=%286x%29%2F%282x-6%29
7%2F%287-3%29%2B7%2F2=%286%287%29%29%2F%282%287%29-6%29
7%2F4%2B7%2F2=42%2F8
14%2F8%2B28%2F8=42%2F8
42%2F8=42%2F8