Question

Help! On Solving Rational Equations! Solve for x: 1 over 2 plus 4 over 2 x equals quantity x plus 4 over 10. (2 point) x = -4 x = 5 x = -4 and x = 5 No Solution

Answer 1

If this is your equation
`(1)/(2) + (4)/(2x) = (x+4)/(10)`, then I would add the two fraction of the left by getting the LCD (lowest or least common denominator after which I would use cross-product. (Whispers you could just plug in the answer choices to see which one works)

Back to work: LCD of 2 and 2x is 2x

`(x)/(x) ( (1)/(2) )+ (4)/(2x) = (x+4)/(10)`

`(x)/(2x) + (4)/(2x) = (x+4)/(10)`

`(x+4)/(2x) = (x+4)/(10)` ←after adding the fractions did you notice that the numerators are equal therefore the denominators must be equal
2x = 10
x = 5 when you divide both sides by 2... please check your answer