Answer:
(2,-3)
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
Add the two equations to eliminate y
2x + 2y = -2
3x - 2y = 12
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5x = 10
5x/5 = 10/5
x = 2
Now find y
2x+2y = -2
2(2)+2y = -2
4+2y = -2
Subtract 4 from each side
4-4 +2y = -2-4
2y = -6
Divide by 2
2y/2 = -6/2
y = -3
(2,-3)
Answer:
- A (-4, -3)
- C (2, 4)
- E (3, 2)
Step-by-step explanation:
It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.
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Of course, you can do the function evaluations. For example, testing answer B, we find ...
... 3·6 ≤ -2·1 +18 . . . . <em>false</em> for the first equation — not a solution
Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.
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<em>Using a calculator</em>
The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...
- -2x -3y +18 ≥ 0
- -x +4y +12 ≥ 0
This makes it easy to look at the evaluation results to see if the solution is viable or not.
The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is <u>not</u> part of the solution set. Points B and D fail to match problem requirements.
Points A, C, and E are in the solution set.
Where is the angle? you dont have it posted
Multiplying 34x 17 and you will get answer