Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
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24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
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-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
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4x - 20 = 8
4x = 28
x = 7
Slope is equal to the change in y over change in x, or rose over run m= 1/3
The answer for the question is 31
Fraction would be 30/100 and decinal would be .30 and ratio would be 30/100
Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.
So there are 3 clubs:
- Club A, with 10 students.
- Club B, with 4 students.
- Club C, with 5 students.
The possible combinations of 2 students from different clubs are
- Club A with club B
- Club A with club C
- Club B with club C.
The number of combinations for each of these is given by the product between the number of students in the club, so we get:
- Club A with club B: 10*4 = 40
- Club A with club C: 10*5 = 50
- Club B with club C. 4*5 = 20
For a total of 40 + 50 + 20 = 110 different combinations.
This means that there are 110 different ways in which 2 students from different clubs can be selected.
If you want to learn more about combination and selections, you can read:
brainly.com/question/251701
