Question

Solve the following simultaneous equations in two variables by the method of comparison ​

Answer 1

Answer:

X = 12 ; Y = 8

Step-by-step explanation:

Equestrian 1:

X+Y/5 + X-Y/4 = 5

or, 4x + 4y + 5x - 5y/20 = 5

or, 9x - y = 100

or, x = (100 + y)/9

Equestrian 2:

X+Y/4 + X-Y/5 = 29/5

or, 5x + 5y + 4x - 4y/20 = 29/5

or, 5x + 5y + 4x - 4y/4 = 29

or, 9x + y = 116

or, 9x = 116 - y

or, x = (116 - y)/9

then,

(116 - y)/9 = (100 + y)/9

or, 116 - y = 100 + y

or, 16 = 2y

or, y = 8

x = (100 + 8)/9 = 108/9 = 12

X = 12 ; Y = 8