How do you solve #\frac { 2} { 5} x + \frac { 6} { 5} = \frac { 1} { 4} x - 1#?
2 Answers
Explanation:
so
Step 1: Convert all terms to the same denominator
The least common multiple of the denominators as given (that is the LCD of 5 and 4) is 20,
so we will express the terms with denominators of 20:
Step 2: Rewrite the original equation with the new denominator forms
Step 3: Simplify by multiplying everything by the value of the common denominator (20)
Step 4: Subtract 5x from both sides (to isolate x terms on the left)
Step 5: Subtract 24 from both sides (to isolate the constant terms on the3 right)
Step 6: Divide both sides by 3 (to reduce the equation to a single x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Verification: If
L.S.
R.S.
L.S. = R.S.
so our result is correct.