How do you write an equation with two fractions into standard form?
(2/5)x + (1/3)y - 2=0
multiply through by the LCD (lowest common denominator)
... in this case , 15
The standard form is
Ax + By = C
So, yours can be done as
(2/5)x + (1/3)y = 2
Next, clear the fractions by multiplying through by LCM(3,5)=15 and you have
6x + 5y = 30
To write the given equation with two fractions into standard form, you need to eliminate the fractions by multiplying every term by the least common multiple (LCM) of the denominators.
Step 1: Find the LCM of 5 and 3. The LCM of 5 and 3 is 15.
Step 2: Multiply every term of the equation by 15 to clear the fractions:
15 * [(2/5)x] + 15 * [(1/3)y] - 15 * (2) = 15 * 0
Simplifying each term:
(15/5)x + (15/3)y - 30 = 0
Step 3: Simplify the equation further:
(3x) + (5y) - 30 = 0
Now the equation is in standard form, where the variables are in the first degree and all terms are on one side of the equation.
To write an equation with two fractions into standard form, follow these steps:
Step 1: Clear the fractions in the equation by multiplying each term by the least common multiple (LCM) of the denominators. In this case, the denominators are 5 and 3, so the LCM is 15.
Multiply the entire equation by 15 to clear the fractions:
15 * [(2/5)x] + 15 * [(1/3)y] - 15 * 2 = 15 * 0
This simplifies to:
6x + 5y - 30 = 0
Step 2: Rearrange the equation so that the terms are in standard form, which means that the variables are placed before the constants and the equation is equal to zero.
Rearranging the equation:
6x + 5y = 30
Now the equation is in standard form.