2x - 2y + z = 5....multiply by -1
2x - 2y + 3z = 7
-------------------
-2x + 2y - z = -5 (result of multiplying by -1)
2x - 2y + 3z = 7
-------------------add
2z = 2
z = 2/2 = 1
2x - 2y + z = 5.....multiply by 3
-3x - 3y + 3z = 9...multiply by 2
-------------------
6x - 6y + 3z = 15 (result of multiplying by 3)
-6x - 6y + 6z = 18 (result of multiplying by 2)
-------------------add
-12y + 9z = 33
-12y + 9(1) = 33
-12y + 9 = 33
-12y = 33 - 9
-12y = 24
y = -24/12
y = -2
2x - 2y + z = 5
2x - 2(-2) + 1 = 5
2x + 4 + 1 = 5
2x + 5 = 5
2x = 5 - 5
2x = 0
x = 0
solution is : (0,-2,1)
Multiply the first equation by negative 3 and then add that new equation to the second one
Answer:
x = 11
The value "11" makes the equation true.
2 ( x - 5 ) = 12
2 ( 11 - 5 ) = 12
2 ( 6 ) = 12
12 = 12
Step-by-step explanation:
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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