X + y = 24....multiply by -3
3x + 5y = 100
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-3x - 3y = - 72 (result of multiplying by -3)
3x + 5y = 100
--------------add
2y = 28
y = 28/2
y = 14
x + y = 24
x + 14 = 24
x = 24 - 14
x = 10
solution is (10,14)...and x represents 3 point q's and y represents 5 point q's......so this tells me there are 10 three point q's and 14 five point q's.
Shape A is congruent to shape D because a 180° rotation about the origin and then a translation 2 units right maps shape A onto it.
Shape B is congruent to shape E because a 90° clockwise rotation about the origin and then a translation 1 unit left maps shape B onto it.
There are 4 Jacks and 4 nines in each deck of cards, each one a different suit, so you would have a probability of 8/52, or 2/13 simplified.