Answer:
Step-by-step explanation:
to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.
2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)
2(3) + 3 < 12 3(3) - 2(3) > 2
6 + 3 < 12 9 - 6 > 2
9 < 12....true 3 > 2....true
(3,3) lies in the solution set <==
Answer:
- (x, y) = (8, -1)
- (x, y) = (7, 10.5)
Step-by-step explanation:
1. You can use the expression for y to substitute into the first equation:
2x +4(1/4x -3) = 12
2x +x -12 = 12 . . . . . . eliminate parentheses
3x = 24 . . . . . . . . . . . add 12; next divide by 3
x = 8 . . . . . matches choice C
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2. You can use the expression for y to substitute into the second equation:
x -2(2x -3.5) = -14
-3x +7 = -14 . . . . . . eliminate parentheses
21 = 3x . . . . . . . . . . add 3x+14; next divide by 3
7 = x . . . . . matches the third choice
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When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)
-27 can be rewritten as -3 * -3 * -3
So the 3rd root of -27 is -3.
(You can check on the calculator to make sure as well)