All categories

4 years ago

Solve the following system: Y = x -2 2x + y = 5

Mathematics

1 answer:

Veronika [31]4 years ago

3 0

Answer:

x = 7/3

y = 1/3

Step-by-step explanation:

y = x - 2.... (1)

2x + y = 5.... (2)

Rearranging equation (2), we have

y = -2x +5 .... (3)

Let's multiply equation (1) by 2 so that we can easily simplify by substitution.

Therefore, it becomes 2y = 2x - 4 ... (4)

We add equation (3) and (4)

3y = 1

y= 1/3

Now, substitute (y= 1/3) in equation 1

It becomes:

1/3 = x - 2

x = 1/3 + 2

Simplifying with a LCM of 3

x = (1 plus 6, all over 3)

= 1+6/ 3

= 7/3

You might be interested in

What is the probability that a point in the rectangle below is also in the isosceles trapezoid ?

AleksandrR [38]

Answer:

Read the example letter below, and answer the question that follows.

June 14, 2015

1234 Maplewood Lane

Sunnydale, MN 55003

Dear Courtney,

I hope you are doing well, and that your recent move to Sunnydale went smoothly. We all miss you greatly, but are excited for you to begin your new career in wildlife photography. I am writing to ask if you would consider writing a letter of reference for my application to the summer photography program at the local community college.

When applying to the program, I immediately thought of you as a potential reference. As my former supervisor, you have directly observed my passion for photography, and my willingness to learn more about the field. I believe that my time working with you at the photography studio was an excellent first step towards my future career in the field. The letter of reference will enable me to continue my growth and experience in photography.

I hope that you will consider writing the letter of reference, and I truly appreciate your consideration.

Regards,

Samantha Carlotta

What is the above an example of?

friendly letter

business letter

letter of reference

request letter

Step-by-step explanation:

4 0

3 years ago

HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL

Phoenix [80]

Answer:

there is no question? may u add one plz so i can help?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Bryan earns $11.80 per hour. He is paid time and a half for hours worked over 8 hours in a day. Yesterday Bryan worked 9.25 hour

zloy xaker [14]

Answer:

$116.53

Step-by-step explanation:

Bryan earn's 11.80 per hour. He is paid time and a half for hours worked over 8hrs in a day. So if you divide 11.80 by 2, you get 5.90.

11.80+5.90=17.70. This is the amount he gets paid if he works overtime.

If Bryan worked 9.25 hrs yesterday, we already know that he made $94.40 in 8 hours. We have to find the amount he got paid for working over time.

The remaining hours are 1.25. We can add $17.70 to 94.40 to get 112.10. Now we have to figure out the remainder which is a quarter of an hour. Multiply 17.70 by .25 and you will get 4.43.

The total amount he got paid for working over time was $116.53.

5 0

3 years ago

The following is a parallelogram. What is the measure of angle N?

lina2011 [118]

Answer:120 Degrees

Step-by-step explanation:

Angle M and N add up to 180 degrees so,

180= 11x-40 (Since 3x+8x would be 11x)

220=11x (Add 40 to both sides)

X=20 (divided 220 by 11)

3 0

3 years ago

6 freshmen, 9 sophomores, 8 juniors, and 10 seniors are eligible to be on a committee. If a committee of 14 students is chosen a

denpristay [2]

<h3>Answer: 0.027145</h3>

=========================================

Work Shown:

You will be using the nCr combination formula here. Refer to the attached image below (figures 1 through 5).

We have a pool of n = 6 freshmen and we're selecting r = 2 individuals from this pool, so there are nCr = 6C2 = 15 ways to pick the two freshmen (see figure 1).

There are 84 ways to pick the sophomores since 9 C 3 = 84 (see figure 2)

Refer to figure 3 to see how 8 C 4 = 70. So there are 70 ways to pick the juniors.

Refer to figure 4 to see how 10 C 5 = 252. There are 252 ways to pick the seniors.

Finally, refer to figure 5 to see how 33 C 14 = 818,809,200. This is the number of ways to pick 14 students from a pool of 33 (add up all the students).

--------------

Multiply out the results of figures 1 through 4 to get:

15*84*70*252 = 22,226,400

This represents the number of ways to select all the students as mentioned in the instructions.

Then divide this over the result of figure 5

(22,226,400)/(818,809,200) = 0.02714478537858

This rounds to 0.027145 when rounding to 6 decimal places.

8 0

4 years ago