Question

3/5x + 1/4y = -1/2 in standard form

Answer 1

Answer:

$\large\boxed{12x+4y=-10}$

Step-by-step explanation:

The standard form:

$Ax+By=C$

A, B and C are the integer.

We have:

$\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}$

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:

$20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10$