Question

If x = a , y = b is the solution of the pair of linear equations x - y = 2 , x + y = 4,then the respective values of a and b are​

Answer 1

Step-by-step explanation:

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Answer 2

➪ Given, x=a and y=b.

➪ Given equations,

x-y=2 ⠀⠀⠀⠀⠀⠀⠀━━━━━━ (equation 1)

x+y=4 ⠀⠀⠀⠀⠀⠀⠀ ━━━━━━ (equation 2)

━━━━━━━━━━━✴️━━━━━━━━━━

︎︎︎ Equation 1 + Equation 2,

x-y=2

x+y=4

━━━━━━━━━━━✴️━━━━━━━━━━━

2x=6

( y gets cancelled as there is a negative y and a positive y implies y-y=0)

x=6/2

x=3

☞︎︎︎ But x=a implies a=3

༄ substitute a in equation 1 (it can be substituted even in equation 2)

x-y=2

3-y=2

y=3-2

y=1

༄ But y=b implies b=1

༄ Therefore, a=3 and b=1

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