how do you solve this linear equation?
x/3-1/3=-5
I do not understand this with fractions. Can anyone help?
Multiply both sides by 3 to get rid of the fractions. (If the denominators are different, change to common denominator before multiplying.)
x - 1 = -15
Can you take it from there?
I can the answer would be -4. But I have a multiple choice answer and -4 is not one of them.
the choices are
a. -14
b. 16
c. -16
d. 14
so then how would you find the answer?
Nope never mind I made a minor mistake it is -14.
To solve the linear equation with fractions, we need to eliminate the fractions by multiplying all terms in the equation by the least common denominator (LCD) of the fractions involved.
In this equation, the fractions have denominators of 3. Therefore, the LCD is also 3. To eliminate the fractions, we multiply both sides of the equation by 3:
3 * (x/3) - 3 * (1/3) = 3 * (-5)
This simplifies to:
x - 1 = -15
To isolate the variable x, we can add 1 to both sides of the equation:
x - 1 + 1 = -15 + 1
This simplifies to:
x = -14
Therefore, the solution to the linear equation x/3 - 1/3 = -5 is x = -14.