Question

If two regression equations are 8x – 10y + 66 = 0 ; 40x – 18y – 214 = 0, find the Mean values of x and y.

Answer 1

Step-by-step explanation:

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Answer 2

Find the value of x and y form $8x-10y+66=0$ and $40x-18y-214=0$

Definition:

A linear equation is an equation in which the highest power of the variable is one.It is also known as one degree equation.

Step-by-step explanation:

$8x-10y+66=0\\8x-10y=-66$      (1)

$40x-18y-214=0\\40x-18y=214$   (2)

Multiply equation (1) by 5

$40x-50y=-330$ subtract this equation with equation (2)

$40x-50y=-330$

$40x-18y=214$

(-)     (+)        (-)

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$-32y=-544\\y=17$

Substitute the value of y in any one of the equation

$8x-10y+66=0\\8x-10(17)+66=0\\8x-170+66=-\\8x=104\\x=13$

Therefore,the value of x is 13 and y is 17.