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Earn +20 ptsQ: What is 3(7x 2y)?
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Find two numbers whose sum is -7 and whose difference is 37?
x + y = -7 x - y = 37x = -7-y-7-y-y = 37-7-2y = 37-2y = 44y = -22x - 22 = -7x = 15So -22 and 15
Find two numbers such that the sum of seven times the smaller and twice the larger is 155 and the difference between eight times the smaller and the larger is 3?
Let the smallest number be x, and the larger number be y. So we have:7x + 2y = 1558x - y = 37x + 2y) = 1552(8x - y) = 2(3)7x + 2y = 15516x - 2y = 6(7x + 2y) + (16x - 2y) = 155 + 67x + 16x + 2y - 2y = 155 + 623x = 16123x/23 = 161/23x = 78x - y = 38(7) - y = 356 - y = 356 - 3 - y + y = 3 - 3 + y53 = yThus, the number are 7 and 53.Check:
What is four hundred minus what number equals to 37?
400 - x = 37x - 400 = -37x = -37 + 400 = 363
How is 3x-5 equals 40-3x plus 3?
3x-5=40x+3 Subtract 3x-5 from each side 0=37x+8 -8=37x x= -8/37
Does 3-2y equal -2y plus 3?
Yes. It is like having a-b, which is a+(-b), which is -b+a, so 3-2y = 3+(-2y) = -2y+3
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