Express y in terms of x, it being give that 3x + y − 12 = 0 check whether the
point (3, 3) is on the line represented by the equation 3x = y − 12 = 0
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given, 3x + y - 12 = 0
to express the given equation in terms of y
y = 12 - 3x [ by transposing 3x and 12 ]
to check whether (3,3) lies on the line represented by the equation 3x = y - 12,
we have to replace x = 3 and y = 3 in the given equation and if these values of x satisfies the given equation, then yes points lies on the line.
3x = y - 12
=> 3x - y +12 = 0 [ by transposing ]
=> LHS: 3*3 - 3 + 12
=> = 9 - 3 + 12
=>. = 18 is not equal to RHS
as the points do not satisfy the equation, (3,3) does not lie on the line
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