Question 211085
Solve (find the value for the given variable) Show all work and check answers.
Assume it's (brackets would help alot)
{{{((a+1))/6}}} = {{{2/a}}}
Cross multiply
a(a+1) = 2*6
a^2 + a = 12
a^2 + a - 12 = 0
Factor
(a-3)(a+4) = 0
a=-4
a=+3
I'll let you check both solutions in the original equation
:
{{{5/((3x+1))}}} = {{{3/((3x-1))}}}
cross multiply
5(3x-1) = 3(3x+1)
15x - 5 = 9x + 3
15x - 9x = 3 + 5
6x = 8
x = {{{8/6}}}
x = 1{{{1/3}}}
:
Check solution by substituting 8/6 in original equation