Answer:
c) x = 6, y = 9
Explanation:
The figure is a parallelogram. The diagonals of a parallelogram bisect each other, so each part of a given diagonal is equal to the other part.
3x = 2y
2x = y+3
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Solving the second equation for y, we have ...
y = 2x -3
Substituting into the first equation gives ...
3x = 2(2x -3)
3x = 4x -6 . . . . simplify
6 = x . . . . . . . . .add 6 -3x
y = 2(6) -3 = 9 . . . . use the above expression for y
The values of x and y are (x, y) = (6, 9).