Answer:
B. infinite solutions along a line
Step-by-step explanation:
The matrix is equivalent to the equations ...
x = 2
y = 9
0z = 0 . . . . . . true for any z
This tells you the solutions are ...
(x, y, z) = (2, 9, z)
This defines a line parallel to the z-axis.
We know that both lines will be equivalent, so to solve for x we can equate the two expressions
5x = 2x + 63
We will first subtract 2x from both sides
3x = 63
We will then divide both sides by 3
x = 21
Answer:
Step-by-step explanation:
1).b). 2x - 3y > 5
For (2, 1),
2(2) - 3(1) > 5
1 > 5
False.
So the answer is NO.
c). For (6, 2),
2(6) - 3(2) > 5
12 - 6 > 5
6 > 5
True.
Therefore, the answer is YES.
2). a). 3y + x ≤ 12
For (3, -2),
3(-2) + 3 ≤ 12
-6 + 3 ≤ 12
-3 ≤ 12
True.
Therefore, answer is YES.
b). For (4, 6),
3(6) + 4 ≤ 12
18 + 4 ≤ 12
22 ≤ 12
False.
Therefore, answer is NO.
c). For (-1, -2),
3(-2) + (-1) ≤ 12
-6 - 1 ≤ 12
-7 ≤ 12
True.
Therefore, answer is YES.
3). a). y < 3x - 15
For (5, -3),
-3 < 3(5) - 15
-3 < 0
True.
Therefore, answer is YES.
b). For (7, 5),
5 < 3(7) - 5
5 < 21 - 5
5 < 16
True.
Therefore, answer is YES.
c). For (3, -5),
-5 < 3(3) - 5
-5 < 9 - 5
-5 < 4
True.
Therefore, answer is YES.
Based on the evaluation of Faith's register, faith did a good job; everything is correct
<h3>Evaluation of Faith's register</h3>
- Balance in checking account = #1,100
- less miller's food market = 49.51
- less speedy auto repair = 144.85
- less Sandra's beauty salon = 25.00
= 880.64
= $1,464.31
Learn more about debit and credit transaction:
brainly.com/question/13669524
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