Question

7. solve the following pair of linear equation by using substitution method
2x+y=2 and 2x - y = 2​

Answer 1

$\huge{\underline{\bold{ Solution:- }}}$

=> 2x + y = 2--------(1)

=> y = 2 - 2x

(and)

=>2x - y = 2---------(2)

Substituting value to eq.(1) in eq.(2), we get,

=> 2x - (2 - 2x) = 2

=> 2x - 2 + 2x = 2

=> 4x = 2 + 2

=> 4x = 4

=> x = (4/4)

$\boxed{ => x = 1}$

Thankyou~

Answer 2

Answer:

$2x + y = 2 \\ 2x - y = 2 \\ + \: \: - \\ 4 x = 2 \\ x = 4 \div 2 \\ x = 2 \\ \\ substituting \: x \: = 2 \\ \\ 2x + y = 2 \\ 2(2) + y = 2 \\ 4 + y = 2 \\ y = 2 - 4 \\ y = - 2$

Therefore, value of x and y are 2 and -2 respectively.