Answer:
6. ○ [-6, 8]
5. Fourth bubble
3. ○ No Solution
1. ○ [5, 0]; Value is 35
Step-by-step explanation:
6.
{-8x - 8y = -16
{6x - 9y = -108
¾[-8x - 8y = -16]
{-6x - 6y = -12 >> New Equation
{6x - 9y = -108
______________
-15y = -120
____ ____
-15 -15
y = 8 [Plug this back into both equations above to get the x-coordinate of -6]; -6 = x
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1. All you do is take each answer choice and plug it into each function to confirm their authenticities.
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5. From what I have seen about matrices, just write then side-by-side as you see it.
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3.
{-3x - 4y - 3z = -7
{2x - 6y + 2z = 3 ←
{5x - 2y + 5z = 9 ←
{2x - 6y + 2z = 3
{5x - 2y + 5z = 9
-⅓[2x - 6y + 2z = 3]
{-⅔x + 2y - ⅔z = -1 >> New Equation
{5x - 2y + 5z = 9
____________________
4⅓x + 4⅓z = 8
- 4⅓z -4⅓z
_________________
4⅓x = -4⅓z + 8
____ _________
4⅓ 4⅓
x = -z + 1 11⁄13
5[-z + 1 11⁄13] - 2y + 5z = 9
-5z + 93⁄13 - 2y + 5z = 9
9 = 9 3⁄13 - 2y
-9 3⁄13 -9 3⁄13
______________
-3⁄13 = -2y
____ ___
-2 -2
3⁄26 = y
5[-z + 1 11⁄13] - 2[3⁄26] + 5z = 9
-5z + 9 3⁄13 - 3⁄13 + 5z
9 = 9
2[-z + 1 11⁄13] - 6[3⁄26] + 2z = 3
-2z + 3 9⁄13 - 9⁄13 + 2z = 3
3 = 3
* So you see, ever since we defined y and partially defined x, the z-terms keep canceling each other out, therefore indicating that we have NO SOLUTION.
*** I apologize that I have not had the time to teach myself how to solve using matrices, which I have heard of, but was never taught it. I hope you can understand my entire explanation.
I am delighted to assist you anytime.
