Question

Solve the pair of linear equations; 21x+47y=110;47x+21y=162

Answer 1

Answer:

I hope it will help you.

Answer 2

SOLUTION

Given,

21x +47y= 110........(1)

47x +21y= 162..........(2)

Adding Equation (1) &(2), we get

=) 68x + 68y= 272

=) x +y= 4..........(3)

Subtracting equation(1) from (2), we get

=) 26x -26y= 52

=)or x-y = 2.............(4)

On adding and subtracting equations (3) and (4), we get

=) from (3)

=) x+y= 4

=)x= 4-y..........(5)

Now, putting the value of x in (3)

=)x-y= 2

=)4-y-y= 2

=) 4-2y= 2

=)-2y= 2-4

=)-2y= -2

=) y= -2/-2

=) y= 1

Putting the value of y in eq^n (5)

=) x= 4-y

=)x= 4-1

=)x= 3

hope it helps ✔️