This question is based on system of linear equation. Therefore, the value of x and y for given equations is x = 4 and y = -1.
Given:
3x-9y=21 ....(1)
6x+3y=21 ....(2)
Now, we have to solve the both equation for x and y.
From equation (1), we get the value of x,
⇒ 3x-9y=21
⇒ x - 3y = 7
⇒ x = 7 + 3y
Putting the value of x = 7 + 3y in equation (2).
We get,
⇒ 6x + 3y=21
⇒ 6 ( 7 + 3y ) + 3 y = 21
⇒ 42 + 18y +3y =21
⇒ 42 +21 y = 21
⇒ y +2 = 1
⇒ y = -1
Putting the value of y= -1 in equation x = 7 + 3y.
We get,
⇒ x = 7 +3(-1)
⇒ x = 4
Therefore, the value of x and y for given equations is x = 4 and y = -1.
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