[tex] \frac{2}{3} + \frac{3k}{4} = \frac{71}{12} [/tex]
LCD ( 3 * 4 ) = 12
Multiply by LCD = 12
[tex] \frac{2}{3} *12+ \frac{3k}{4} *12= \frac{71}{12} *12[/tex]
Refine :
[tex]9 k + 8 =7[/tex]
Subtract 8 from both sides:
[tex]9k+8-8 = 71-8[/tex]
[tex]9k = 63[/tex]
Divide both sides by 9
[tex]k= \frac{63}{9} [/tex]
[tex]k=7[/tex]
hope this helps!
