|
Question 222971: How to solve linear equations with fractions step by step?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! easiest thing to do normally is to multiply both sides of the equation by a factor that will result in the removal of the fractions.
example:
(5/8)*x + (3/15) * y = 70
multiply both sides of this equation by (8*15) to get:
(5/8)*8*15*x + (3/15)*8*15*y = 70*8*15
this results in:
5*15*x + 3*8*y = 70*8*15
simplify and then solve.
another way is to get a common denominator so you can combine the fractions.
this should result in the same equation above.
original equation is again:
(5/8)*x + (3/15) * y = 70
this equation is the same as:
5*x/8 + 3*y/15 = 70
multiply numerator and denominator of the first fraction by 15/15 and multiply the numerator and denominator of the second fraction by 8/8 to get:
(5*x*15)/(8*15) + (3*y*8)/(8*15) = 70
this becomes:
(5*x*15 + 3*y*8) / (8*15) = 70
multiply both sides of this equation by 8*15 to get:
5*15*x + 3*8*y = 70*8*15
I prefer to multiply both sides of the equation by a common factor to get rid of the denominators but you can do it either way.
|
|
|
| |
