## Given the system of equations what is the solution? x + 3y = 5 x – 3y = -1 Answer choices -4, -3 2, 1 -2, 3

October 14, 2019// Blog//

**Answer:**

**Step-by-step explanation:**

- we are given 7 alphabets out of which we need to choose 4 alphabets in order to make a code of 4 letters.

** Hence the size of the sample space is: **

since we have to fill in 4 places with the help of these 7 letters.

so in first place we can select one out of any 7 letters, similarly for the second place as it is not mentioned that repetition is not allowed and the same can be done for third and fourth place.

**Hence size of sample space is: **

- Now the probability of an event is given by:

Probability=(Number of favourable outcomes)/(Total number of outcomes)

Hence here the total number of outcomes=

Total number of favourable outcomes=outcomes that the first three letters are vowels= (since in the first place we have three choices for a vowel{A,I,0} similarly for second and third place and in the fourth place any one of the 7 letters could come)

Hence the probability(P) that the first three letters of the four-letter code are vowels is given by:

**Hence, the Probability is: **