SOLUTION: How to solve linear equations with fractions step by step?

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.

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