Question

By eliminarion mothod...
Solve this simultaneous linear equation
7x - 3y=18
6x + 7y=25​

Answer 1

Answer:

1.Since the two lines of regression interest at the point (

X

ˉ

,

Y

ˉ

)

Replace x and y by

X

ˉ

and

Y

ˉ

respectively in the given regression equations.

We get,

7

X

ˉ

−3

Y

ˉ

−18=0 and 4

X

ˉ

−

Y

ˉ

−11=0

Solving these equations, we get

X

ˉ

=3 and

Y

ˉ

=1

Thus the arithmetic mean of x and y is given by 3 and 1

Answer 2

Answer:

(x,y) = (3,1) is the solution of the given simultaneous linear equation.

Step-by-step explanation:

7x - 3y = 18 (i)

6x + 7y = 25 (ii)

multiplying equation (i) by 7 and equation (ii) by 3, we get

49x - 21y = 126 (iii)

18x +21y = 75 (iv)

adding equation (iii) amd equation (iv)

67x = 201

x = 3

substituting x = 3 in equation (i)

7×3 - 3y = 18

21 - 3y = 18

-3y = 18 -21

-3y = -3

y = 1

hope it was helpful...