What is the answer to (12)/(7-y)+1/y =3 ?

The answer to (12)/(7-y)+1/y =3 is y=1,y= 7/3

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(12)/(7-y)+1/y =3

\frac{12}{7 - y} + \frac{1}{y} = 3

y = 1, y = \frac{7}{3}

Decimal Notation

y = 1, y = 2.33333 \dots

Solution steps

\frac{12}{7 - y} + \frac{1}{y} = 3

Multiply by LCM

11 y + 7 = 3 y (- y + 7)

Solve

11 y + 7 = 3 y (- y + 7) : y = 1, y = \frac{7}{3}

y = 1, y = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

y = 7, y = 0

Combine undefined points with solutions:

y = 1, y = \frac{7}{3}

\frac{3}{2} + \frac{13}{x} = 4 x

\frac{- 4 a + 8}{a + 3} = 0

a^{- 1} = - a

\frac{1000}{y} + y = 70

\frac{2 π}{x} = \frac{1}{3}

What is the answer to (12)/(7-y)+1/y =3 ?
The answer to (12)/(7-y)+1/y =3 is y=1,y= 7/3
Solve for y: (12)/(7-y)+1/y =3
The solution is y=1,y= 7/3