Answer:
[tex]\large\boxed{12x+4y=-10}[/tex]
Step-by-step explanation:
The standard form:
[tex]Ax+By=C[/tex]
A, B and C are the integer.
We have:
[tex]\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}[/tex]
Find the common denomintaor of given fractions.
We have 5, 4 and 2. The common denominator of 2, 4 and 5 is 20.
20 = 2 · 10 = 4 · 5 = 5 · 4
Thereofre multiply both sides by 20:
[tex]20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10[/tex]
