1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksi-84 [34.3K]
3 years ago
5

I need help solving. The answer is (2,-6)

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Since we are given x in terms of y, the most efficient way to solve it would be to substitute in the \frac{1}{2}y+5 for x in the second equation. So, we then have:

2(\frac{y}{2}+5)+3y=-14 \implies \\
y+10+3y=-14 \implies \\
4y+10=-14 \implies\\
4y=-24 \implies \\
y=-6

So, now that we have our y, we can find x. We can actually use either equation, top or bottom, to find x, but to be efficient we should use the top one since we have x in terms of y, so:

x=\frac{-6}{2}+5 \implies \\
x=-3+5 \implies \\
x=2

So, our ordered pair is (2,-6).

You might be interested in
When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa
Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

x^2+x=87912

x^2+x-87912=0

x^2-296x+297x-87912=0

x(x-296)+297(x-296)=0

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297

5 0
3 years ago
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig
Anton [14]

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

\sqrt{397} = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

5 0
2 years ago
Which of the following demonstrates the Commutative Property of addition?
Crazy boy [7]

Answer:

To my calculations, I think its the first one, 4+2=2+4

I hope this helps! ^^

Apologizes if you get it wrong-

Step-by-step explanation:

5 0
3 years ago
PLEASE HELPPP I WILL MARK BRAINLIEST
Rina8888 [55]

Answer: they are different the difference is 28

Step-by-step explanation:

6 0
2 years ago
In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the st
Katena32 [7]
The answer would be C. (12 x 5) - (s x 2) = 38.

This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.
3 0
3 years ago
Other questions:
  • find the equation of the linear function which passes through the points (1,-3) and (4,-2) give your answer in y=mx+b form
    9·1 answer
  • Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of th
    7·1 answer
  • Subtract<br> - 20 from<br> - 25.
    13·2 answers
  • What are the factor of these numbers,
    9·1 answer
  • Assessment
    9·2 answers
  • What is the solution for this system of equations? <br>y= -1/4x + 6<br>y= x+1​
    15·1 answer
  • Is 1/3 bigger than 33.3%
    6·2 answers
  • A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n &gt;=2. Write the equation for the nth term
    11·1 answer
  • Are these numbers linear or non-linear <br> x- 0, 1, 2, and 3 <br> y- 1, 3, 6, and 10
    5·1 answer
  • The total cost of 3 bikes is 480 000 . One bike costs twice as much as the smallest and another 3 times as much a the smallest ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!