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If x-3y=3 and 2x+9y=11, then what are the values of x and y?

If x-3y=3 and 2x+9y=11, then what are the values of x and y? Correct Answer 4, 1/3

x - 3y = 3    or,   x = 3y + 3 - - - - - - - (i) 2x + 9y = 11 or,   2(3y + 3) + 9y = 11 or,   6y + 6 + 9y = 11 or,   15y = 11 - 6 or,    y = 5/15 = 1/3 Now,   x = 3y + 3 = 3 x 1/3 + 3 = 4 So, (x, y) = (4, 1/3).

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