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frozen [14]
3 years ago
5

Find the complete solution of the system 5x+3y+11z=37 3y+z=12 5x+9y+13z=61

Mathematics
1 answer:
valkas [14]3 years ago
3 0

Answer:

y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5

Step-by-step explanation:

We are given a system of equation:

5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

y = \displaystyle\frac{12-z}{3}\\\\5x + 12 - z + 11z = 37\\5x = -10z + 25\\x = -2z + 5

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specialty T-shirts are being sold online for $30 each plus a one-time handling fee of $2.75 . The total cost is a function of th
myrzilka [38]

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5 0
3 years ago
Someone help me asap pls​
Makovka662 [10]

Answer:

<u>For the graph in the top-left corner, the ?? = 0.25</u>

This can be found using a simple slope equation:

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m = slope

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slope = 1/4 or 0.25

The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.

This also gives you the answer to your next two questions.

<u>The one in the top-right corner is $0.25 per pencil.</u>

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b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)

As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.

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3 years ago
An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance
lbvjy [14]

Answer: a)  Unimodal and symmetric

b) 0.26

c) 0.038

Step-by-step explanation:

Given: Sample size of investors (n)= 131

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a) Since sampling distribution for the sample proportion is approximately normal when n is larger.

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=0.0383236518364\approx0.038

6 0
3 years ago
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