LCM of 34 and 56 = 952
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2x - 2y = 12 (1)1x + 5y = 34 (2)x + 5y = 34 subtract 5y to both sidesx = 34 - 5y (3)Substitute 34 - 5y for x into the first equation2x - 2y = 122(34 - 5y) - 2y = 1268 - 10y - 2y = 1268 - 12y = 12 subtract 68 to both sides-12y = -56 divide by -12 to both sidesy = 4.666666667Substitute 4.7 for y into the third equationx = 34 - 5yx = 34 - 5(4.7)x = 34 - 23.33333333x = 10.66666667Check:
56' x 56' = 56 x 56 = 3136 sq feet.56' x 56' = 56 x 56 = 3136 sq feet.56' x 56' = 56 x 56 = 3136 sq feet.56' x 56' = 56 x 56 = 3136 sq feet.
Multiples of 16 are 16, 32, 48, 64, 72, 80, 96, 112, 128, 144.... Multiples of 28 are 28, 56, 84,112, 140... The smallest number that both 16 and 28 divide into evenly is 112. Therefore the LCM for 16 and 28 is 112.The LCM of 16 and 28 is 112...