What is the answer to ((5y-6)(4y-8))/(5y-2)=4y+5 ?

The answer to ((5y-6)(4y-8))/(5y-2)=4y+5 is y= 58/81

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Popular >

((5y-6)(4y-8))/(5y-2)=4y+5

Solution

\frac{( 5 y - 6 ) ( 4 y - 8 )}{5 y - 2} = 4 y + 5

Solution

y = \frac{58}{81}

Decimal Notation

y = 0.71604 \dots

Solution steps

\frac{( 5 y - 6 ) ( 4 y - 8 )}{5 y - 2} = 4 y + 5

Multiply both sides by

5 y - 2

(5 y - 6) (4 y - 8) = 4 y (5 y - 2) + 5 (5 y - 2)

Expand

4 y (5 y - 2) : 20 y^{2} - 8 y

20 y^{2} - 64 y + 48 = 20 y^{2} - 8 y + 5 (5 y - 2)

Expand

5 (5 y - 2) : 25 y - 10

20 y^{2} - 64 y + 48 = 20 y^{2} - 8 y + 25 y - 10

Add similar elements:

- 8 y + 25 y = 17 y

20 y^{2} - 64 y + 48 = 20 y^{2} + 17 y - 10

Expand

(5 y - 6) (4 y - 8) : 20 y^{2} - 64 y + 48

20 y^{2} - 64 y + 48 = 20 y^{2} + 17 y - 10

Move

48

to the right side

20 y^{2} - 64 y = 20 y^{2} + 17 y - 58

Subtract

20 y^{2} + 17 y

from both sides

20 y^{2} - 64 y - (20 y^{2} + 17 y) = 20 y^{2} + 17 y - 58 - (20 y^{2} + 17 y)

Simplify

- 81 y = - 58

Divide both sides by

- 81

y = \frac{58}{81}

Verify Solutions

Find undefined (singularity) points:

y = \frac{2}{5}

Combine undefined points with solutions:

y = \frac{58}{81}

Popular Examples

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\frac{( n - 2 ) 180}{n} = 108

(g-7)/4 = 2/(g-7)

\frac{g - 7}{4} = \frac{2}{g - 7}

2pir^2-(2000)/r =0

2 π r^{2} - \frac{2000}{r} = 0

0.3=(2x)/(x^2+4)

0.3 = \frac{2 x}{x ^{2} + 4}

(2b)/b = b/b

\frac{2 b}{b} = \frac{b}{b}

Frequently Asked Questions (FAQ)

What is the answer to ((5y-6)(4y-8))/(5y-2)=4y+5 ?
The answer to ((5y-6)(4y-8))/(5y-2)=4y+5 is y= 58/81
Solve for y: ((5y-6)(4y-8))/(5y-2)=4y+5
The solution is y= 58/81

((5y-6)(4y-8))/(5y-2)=4y+5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to ((5y-6)(4y-8))/(5y-2)=4y+5 ?

Solve for y: ((5y-6)(4y-8))/(5y-2)=4y+5