Mathematics
adventure
2016-09-26 14:59:09
Solve for x when 2/x +5/2=3/4
ANSWERS
lexzy21baby
2016-09-26 19:51:48

Multiply all terms by x:  [latex] 2/x(x) +5/2(x)=3/4(x) [/latex] Now we have:  [latex]2+ frac{5x}{2} = frac{3x}{4} [/latex] Subtract 3x/4 from both sides:  [latex]2+ frac{5x}{2} -frac{3x}{4} = frac{3x}{4} -frac{3x}{4} [/latex] Now we have:  [latex] frac{7}{4} x+2=0[/latex] Subtract 2 from both sides:  [latex] frac{7}{4} x+2-2=0-2[/latex] Now we have:  [latex] frac{7}{4} x=-2[/latex] Multiply by the reciprocal to solve for x:  [latex]frac{7}{4} x( frac{4}{7}) =-2( frac{4}{7} )[/latex] Final answer:  [latex]x=- frac{8}{7} [/latex]

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