Question

Solve for x


16/x -1 =15/x+1 , x not equal to 0 and -1​

Answer 1

Answer:

Simplifying

-4(2x + 5) + -1x = 3(11 + -4x) + 3x

Reorder the terms:

-4(5 + 2x) + -1x = 3(11 + -4x) + 3x

(5 * -4 + 2x * -4) + -1x = 3(11 + -4x) + 3x

(-20 + -8x) + -1x = 3(11 + -4x) + 3x

Combine like terms: -8x + -1x = -9x

-20 + -9x = 3(11 + -4x) + 3x

-20 + -9x = (11 * 3 + -4x * 3) + 3x

-20 + -9x = (33 + -12x) + 3x

Combine like terms: -12x + 3x = -9x

-20 + -9x = 33 + -9x

Add '9x' to each side of the equation.

-20 + -9x + 9x = 33 + -9x + 9x

Combine like terms: -9x + 9x = 0

-20 + 0 = 33 + -9x + 9x

-20 = 33 + -9x + 9x

Combine like terms: -9x + 9x = 0

-20 = 33 + 0

-20 = 33

Solving

-20 = 33

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer 2

Answer:

±4

Step-by-step explanation:

$\frac{16}{x}$-1= $\frac{15}{x+1}$

$\frac{16-x}{x}$=$\frac{15}{x+1}$

$\frac{(16-x)(x+1)}{15\\}$=x

16x+16-$x^{2}$-x=15x

16x+16-$x^{2}$-16x=0

16-$x^{2}$=0

16=$x^{2}$

x=$\sqrt{16}$

x=±4

Hope it helps

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