Answer:
x=-4/9, y=10/3. (-4/9, 10/3).
Step-by-step explanation:
3x+4y=12
3x=2y-8
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2y-8+4y=12
6y-8=12
6y=12+8
6y=20
y=20/6
simplify,
y=10/3
3x=2(10/3)-8
3x=20/3-8
3x=20/3-24/3
3x=-4/3
x=(-4/3)/3
x=(-4/3)(1/3)=-4/9
x=-4/9, y=10/3. (-4/9, 10/3).
Set up a fraction use one radical sign divide the radicans simplify if neccessary
Assuming we are rounding to the nearest 100, five numbers that could be rounded up to 600 are:
550, 567, 579, 580, 599
And five numbers that could be rounded down to 600 are:
601, 610, 625, 630, 649
x+2 > 10 solves to x > 8 after we subtract 2 from both sides
So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.
Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.
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Summarizing everything, we can say...
5 is not in set A. True
5 is in set B. False
6 is in set A. False
6 is not in set B. False
8 is not in set A. True
8 is in set B. True
9 is in set A. True
9 is not in set B. False
