Question

Solve the following pairs of of linear equation by substitution method
x + y = 14.
x-y = 4
plzz solve it with proper explanation.....​

Answer 1

x+y =14

x - y = 4

(x+y) + (x-y) = 14+4

2x = 18

x = 18/2

x = 9

x - y =4

x - 4 = y

9-4=y

y = 5

Hope this will help....

Answer 2

Given equation

$x+y=14$

$\implies x=14-y$

$x-y=4$

Substituting the value of x, we get,

$\implies 14-y-y=4$

$\implies -2y=4-14$

$\implies -2y=-10$

$\implies y = \dfrac{-10}{-2}$

$\implies y = 5$

Substituting the value of y in the second equation, we get,

$x-5=4$

$\implies x = 5+4$

$\implies x = 9$

$\boxed{\boxed{\bold{Therefore, \ the \ value \ of \ x \ and \ y \ are \ 9 \ and \ 5 \ respectively}}}}}}}$