Question

X+y=5
X-y=3
Solve this linear equation

Answer 1

Answer:

Here, The value of x is 4 and y is 1.

Step-by-step explanation:

Here, As per our given question,

=x+y=5 -(1st)eq.

=x-y=8 -(2nd)eq.

On solving both equations by elimination method,we would add both the equations,

=x+y=5

=x-y=3

After solving, we get,

=x+x=5+3

=2x=8

=x=8/2

=x=4

Now, On putting the value of x in eq. 1,we get,

=4+y=5

=y=5-4

=y=1.

So, The value of x=4 and y=1.

Thank you.

Answer 2

$x + y = 5 \: ...........(i) \\ x - y = 3 \: ..... .......(ii) \\ and \: both \: equation(i) \: and \: (ii) \\ we \: get \\ (x + y) + (x - y) = 5 + 3 \\ 2x = 8 \\ x = 4 \\ then \: \\ y = 5 - x = x - 3 \\ y = 5 - 4 = 1$