Question

find the solution of the pair of equation x - y =2 and 2x - y +2=0​

Answer 1

Answer:

x - y = 2

y = x - 2  ⇒ equation 1

2x - y + 2 = 0

2x - (x - 2) + 2 = 0

2x -x + 2 + 2 = 0

x = - 4

y = - 4 - 2

y = -6

Answer 2

Answer:

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Given:-

$\sf{x - y = 2} \: \: \: \: ⇢1$

$\sf{2x - y + 2 = 0} \: \: \: \: ⇢2$

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Proof:-

$\sf{⇒x = 2 + y \: (from \: 1)}$

Substitute the value of x to equation 2

$\sf{⇒2(y + 2) - y + 2 = 0}$

$\sf{⇒2y + 4 - y + 2 = 0}$

$\sf{⇒y + 6 = 0}$

$\large\sf{\color{yellow}\boxed{\color{orange}{⇒y = - 6}}} \: \: \: \:$

Substitute the value of y for equation 1

$\sf{⇒x - ( - 6) = 2}$

$\sf{⇒ x + 6 = 2}$

$\sf{⇒x = 2 - 6}$

$\large\sf{\color{yellow}\boxed{\color{orange}{⇒x = - 4}}}$

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