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sasho [114]
3 years ago
11

PLEASE HELP ME PLESE

Mathematics
2 answers:
NARA [144]3 years ago
8 0
Solve the following system of equations by using the substitution method.
2x – 3y = -1
y = x – 1

<span> (4, 3)|

</span>Solve the following system of equations by using the substitution method.
3y – 2x = 11
y + 2x = 9

<span> Inconsistent|

</span>Solve the following system of equations by using the elimination method.
-2x + 9y = -13
6x – 3y = 15

<span> (2, -1)
|
</span>Solve the following system of equations by using the elimination method.
x – y = 11
2x + y = 19

<span> (10, -1)
|
</span>Solve the following system of equations using matrices.
4x + 5y = -7
3x – 6y = 24

<span> (2, -3)
|
</span>Solve the following system of equations using matrices.
x + y = 1
2x + 5y = 4

<span> (1/3, 2/3) 
Here are the ones I can do.</span>
Ostrovityanka [42]3 years ago
8 0

Answer:

1. Independent

2. (4, -1)

3. (4, 3)

4. (2,5)

5. (2, -1)

6. (10, -1)

7. (2, -3)

8. (1/3, 2/3)

9. 4 and 3

10. (4,-1)

Step-by-step explanation:

1.If a system has one or more solution then it is called Consistent system.

If a system has no solution then it is called an Inconsistent system.

If Consistent system has exactly one solution then it is called Dependent

and If the Consistent system has an infinite number of the solution then it is called Independent.

Therefore, If a system has exactly one solution it is called Dependent.

2. The equations we have:

y = -x + 3 and y = -\frac{1}{2}+3

After solving these equations, We get, x = 4, y = -1

3. The substitution method is we substitute the value of x or y from one equation to another equation and solve them.

After solving given equations. We get,

x = 4, y = 3

4. Similarly, We solve both equations, we get

x = 2, y = 5

5. In the Elimination method, firstly we equate either coefficient of x or y in both equations (if either coefficient of x or y is not equal) after that we add or subtract both equations to eliminate one variable and solve them.

After solving given equations. We get,

x = 2, y = -1

9. We get equations,

x+y=7 and 4(7-y) = 5y+1

After solving these we get the value of x and y.

10. The point of intersection is the solution of both equations. Here we see the point of intersection is (4, -1)

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Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil
Vanyuwa [196]

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

7 0
3 years ago
If z varies directly as x and z=30 when x=8 find z when x=4
dangina [55]
Z=kx, 30=8k, so k=30/8=15/4 and z=15x/4, so when x=4, z=15.
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Convert 0.0000001 to a power of 10. 107 10−7 106 10−6
Westkost [7]
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Andreyy89

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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