Question

The solution of the equation x+y=14 and x-y=4 is
a) x=9 , y=5
b) x=5 , y=9
c) x=7 , y=7
d) x=10 , y=4

solution :-

Given the solution of the equation x + y = 14 and x - y = 4

x + y = 14 ------------(1)
x - y = 4 --------------(2)

adding equation (1) & equation (2)
x + y = 14
x - y = 4
_________
2x = 18
y is cancelled
x = 18/2 = 9
by substitution method
substitute the value of x in equation (2)
=> x-y=4
=> 9-y=4
=> y=5
=> Required value of x=9
=> Required value of y=5
Verification :-
Put the value of x and y in both the equation
=> x+y=14
LHS :-
=> x+y
=> 9+5=14
RHS is also 14 it is also verified
LHS :-
=> x-y
=> 9-5=4
RHS is also 4 it is also verified
Hence both the equations are correct
Thus , option a is correct ​

Answer 1

Step-by-step explanation:

In the first equation if we those options we get answer so all is true

example 7+7= 14

In 2 equation we use First option

9-5=4