What is the answer to 2/((y+3))= 2/((4+31/2)) ?

The answer to 2/((y+3))= 2/((4+31/2)) is y= 33/2

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2/((y+3))= 2/((4+31/2))

\frac{2}{( y + 3 )} = \frac{2}{( 4 + \frac{31}{2} )}

y = \frac{33}{2}

Decimal Notation

y = 16.5

Solution steps

\frac{2}{( y + 3 )} = \frac{2}{( 4 + \frac{31}{2} )}

Cross multiply

2 (4 + \frac{31}{2}) = (y + 3) \cdot 2

Switch sides

(y + 3) \cdot 2 = 2 (4 + \frac{31}{2})

Simplify

2 (4 + \frac{31}{2}) : 39

(y + 3) \cdot 2 = 39

Divide both sides by

2

y + 3 = \frac{39}{2}

Move

3

to the right side

y = \frac{33}{2}

Verify Solutions

Find undefined (singularity) points:

y = - 3

Combine undefined points with solutions:

y = \frac{33}{2}

\frac{15}{27 + ( 3 x - \frac{7}{9} ) ^{3}} = \frac{24}{27}

\frac{2}{3} = \frac{( x + 1 )}{( x - 3 )}

\frac{7}{10 b + 20} = 35

x, h (x^{2}) = \frac{4}{( x ^{2} + 5 )}

\frac{31}{16 - ( \frac{1}{3} x - 0.75 ) ^{2}} = \frac{3}{8}

What is the answer to 2/((y+3))= 2/((4+31/2)) ?
The answer to 2/((y+3))= 2/((4+31/2)) is y= 33/2
Solve for y: 2/((y+3))= 2/((4+31/2))
The solution is y= 33/2