Question

Solve the following simultaneous equation
using graphical method .
x - y = 2,x + y = 6​

Answer 1

Answer:

x=4,y=2 This is the answer

Answer 2

Question:-

Solve the following simultaneous equation

using graphical method .

x - y = 2,x + y = 6

Answer:-

• The value of x is 4
• The value of y is 2

To find:-

• Value of x and y

Solution:-

• x – y = 2.........(1)
• x + y = 6..........(2)

Solve equation 1,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: x - y = 2}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: x = 2 + y}$

Put the value of x in equation 2,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: (2 + y) + y = 6}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: 2 + 2y = 6}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: 2y = 6 - 2}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: 2y = 4}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: y = \frac{4}{2} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: y = 2}$

Put the value of y in equation 1,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: x - 2 = 2}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: x = 2 + 2}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: x = 4}$

Hence,

• The value of x is 4
• The value of y is 2