Question

Question 1 (i)
Solve the following pair of linear equations by the substitution method.
x+ y= 14 ; x - y= 4

Answer 1

x + y = 14 ... (i)
x - y = 4 ... (ii)
From equation (i), we get
x = 14 - y ... (iii)
Substituting the value of x in equation (ii), we get
$\Rightarrow$ (14 - y) - y = 4
$\Rightarrow$ 14 - 2y = 4
$\Rightarrow$ 10 = 2y
$\Rightarrow$ y = 5 ... (iv)
Substituting this in equation (iii), we get
x = 9
$\therefore$ x = 9 and y = 5