If x + y = 2 and 2x + y = 3, then values of x and y are :
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x = 1 and y = 1
Step-by-step explanation:
The given equations are:
x + y = 2 ...... (1)
and 2x + y = 3 ...... (2)
To find, the values of x and y = ?
Subtracting equation (2) from (1), we get
2x + y - (x + y) = 3 - 2
⇒ 2x + y - x - y = 3 - 2
⇒ x = 1
Put x = 1 in equation (1), we get
1 + y = 2
⇒ y = 2 - 1 = 1
∴ x = 1 and y = 1
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