Question

Write any two linear equations in two variables in which the value of one variable is 12 and the other 10.

Answer 1

x + y = 22   ...(i)

x – y = 2   ...(ii)

Adding equations (i) and (ii), we get

    x + y = 22  
+  x – y =   2  
  2x       = 24

∴ x = `24/2`

∴ x = 12

Substituting x = 12 in equation (i), we get

12 + y = 22

∴ y = 22 – 12

∴ y = 10

∴ x + y = 22 and x – y = 2 are the required linear equations in two variables.