What is the answer to solvefor x,(x+10)(y-2)=(x+18)(y-4) ?

The answer to solvefor x,(x+10)(y-2)=(x+18)(y-4) is x=2(2y-13)

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solvefor x,(x+10)(y-2)=(x+18)(y-4)

solve for

x, (x + 10) (y - 2) = (x + 18) (y - 4)

x = 2 (2 y - 13)

Solution steps

(x + 10) (y - 2) = (x + 18) (y - 4)

Expand

(x + 10) (y - 2) : x y - 2 x + 10 y - 20

Expand

(x + 18) (y - 4) : x y - 4 x + 18 y - 72

x y - 2 x + 10 y - 20 = x y - 4 x + 18 y - 72

Move

10 y

to the right side

x y - 2 x - 20 = x y + 8 y - 4 x - 72

Move

20

to the right side

x y - 2 x = x y + 8 y - 4 x - 52

Subtract

x y - 4 x

from both sides

x y - 2 x - (x y - 4 x) = x y + 8 y - 4 x - 52 - (x y - 4 x)

Simplify

2 x = 8 y - 52

Divide both sides by

2

x = 2 (2 y - 13)

3 x + 1 = 3, x

x, f^{- 1} (x) = 2

y, (2 x) = 14 x^{2} - 6 x y

x, - 8 x - (- 8 y) = - 36

x, 9 x - 11 y = 20

What is the answer to solvefor x,(x+10)(y-2)=(x+18)(y-4) ?
The answer to solvefor x,(x+10)(y-2)=(x+18)(y-4) is x=2(2y-13)