solve the equation

Question

-2 / x +4 = 4 /x +3
A. -13/ 6
B. -11
C. - 8 / 3
D. - 11 / 3

Answer 1

First, combine like terms on both sides of the equation:

-2/x + 4 = 4/x + 3

Subtract 4/x from both sides:

-2/x = 4/x - 1

Now make the denominators of the fractions the same by multiplying the whole equation by x:

-x(-2/x) = x(4/x - 1)
2 = 4 - x
2 = 4 - 2

Simplify:
2 = 2

This is true for all values of x, thus there are infinite solutions for this equation. The correct answer would be "All real numbers" or "Infinite solutions".