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
we can do away with the denominators by simply multiplying both sides by the LCD of all fractions, in this case that'd be 4.
[tex]\bf y=\cfrac{3}{4}x-\cfrac{5}{2}\implies \stackrel{\textit{multipliying both sides by }\stackrel{LCD}{4}}{4(y)=4\left( \cfrac{3}{4}x-\cfrac{5}{2} \right)}\implies 4y=3x-10 \\\\\\ -3x+4y=-10\implies \stackrel{\textit{standard form}}{3x-4y=10}[/tex]
Answer:
3x - 4y = 10
Step-by-step explanation:
Subtract y from both sides, obtaining 5/2 = (3/4)x -1y. This is the standard form.
Alternatively, elim. the fractions by mult. all 3 terms by 4:
10 = 3x - 4y
