bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
now, to do away with the denominators, we'll multiply by the LCD of all fractions, in this case 20.
[tex]\bf \cfrac{3}{5}x+\cfrac{1}{4}y=-\cfrac{1}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{3}{5}x+\cfrac{1}{4}y \right)=20\left(-\cfrac{1}{2} \right)}\implies \stackrel{\textit{standard form}}{12x+5y=-10}[/tex]
