4x -3y + z = -10...............(1)
2x +y + 3z = 0...............(2)
-x +2y - 5z = 17...............(3)
First we multiply 3*(2) and add it to (1)
6x +3y +9z =0..................+(1)..................> 10x + 10z = -10......(4)
Then we multiply -2*(2) and add it to (3)
-4x -2y -6z =0 ...................+(3)................> -5x -11z = 17...........(5)
Multiply 2*(5) and add it to (4)
-10x -22z = 34...................+(4).................> -12 z = 24 ..............>>> z = -2
Substitute z in (4)............> 10x +10(-2) = -10.............................>>> x = 1
Substitute x and z in (2).....> 2(1) +y + 3(-2) = 0..................>>> y = 4
Solution (x,y,z) = (1,4,-2)
Answer:
The cost of one canteen is $7.5
Step-by-step explanation:
We are given the following in the question:
Each brother purchase a new par of boots and two canteens.
Cost of one hiking boots = $34.00
Total cost of hiking boots =

Let x dollars be the cost of one canteen.
Number of canteens bought by both brother = 4
Total bill = $98.00
Thus, we can write the equation:

Solving the equation, we get,

Thus, the cost of one canteen is $7.5
<span>We need to divide 72 rolls into 2 groups so that their ratio is 3:5. First, we can see that the ratio of 3:5 tells us there is 8 separate groups of rolls. Now its easy, since we have 72 rolls and we need to divide them into 8 equal groups: 72/8=9. So each group has 9 rolls. Now we separate them into groups with the ratio 3:5, so: 3*9:5*9 and that is: 27 rolls and 45 rolls. </span>
Problem 1
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.