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
Savatey [412]
4 years ago
12

What is the solution to the system of linear equations?

Mathematics
2 answers:
qwelly [4]4 years ago
6 0

Answer:

The answer is (x,y)=(3,1)

Step-by-step explanation:

Firstly, we have to eliminate a variable, x or y. <u>It doesn't matter which one</u>.

For that, we orderer the variables in the same way  for both equations.

-x+y=-2\\2*x+y=7

Then, we need to have the same coefficient in the variable that we want to eliminate, but with different sign

Choosing the x variable:

2*(-x+y)=2*(-2)\\-2*x+2*y=-4\\\\1*(2*x+y)=1*(7)\\2*x+y=7

Then we add both equations:

-2*x+2*y+2*x+y=-4+7\\3*y=3\\y=\frac{3}{3}\\ y=1

Then we replace the value of "<em>y</em>" in whatever equation:

-x+1=-2\\-x=-2-1\\-x=-3\\x=3

Finally, the answer is (x,y)=(3,1)

malfutka [58]4 years ago
4 0
The answer of your question is the third one :(3,1)
You might be interested in
The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .
Slav-nsk [51]

Option D is the correct answer

2w+2.(3w)\leq 112

Further explanation:

Let

l\ be\ the\ length\ of\ rectangle\\and\\w\ be\ the\ width\ of\ rectangle

The perimeter of a rectangle is given by:

P=2w+2l

It is also given that:

P\leq 112

So we can write as

2l+2w\leq 112

We also know that The length of the rectangle is three times its width

l=3w

Putting the value of l in the inequality

2.(3w)+2w\leq 112

Rearranging the terms

2w+2.(3w)\leq 112

Hence, option D is the correct answer.

Keywords: Inequalities, Perimeter

Learn more about inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/1626676

#LearnwithBrainly

5 0
3 years ago
Please answer the WHOLE question and explain!
exis [7]

The total weight of candies is unknown. Let x = the total weight of candies.

"One student ate 3/20 of all candies and another 1.2 lb":

The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.

"The second student ate 3/5 of the candies and the remaining 0.3 lb."

The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.

Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.

That was all the amount of candies, so that sum equals x.

0.15x + 1.2 + 0.6x + 0.3 = x

Now we solve the equation for x to find what the total amount of candies was.

0.75x + 1.5 = x

-0.25x = -1.5

x = 6

The total amount of candies was 6 lb.

The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.

The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.

Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.

7 0
4 years ago
If a real estate agent receives 17 percent of the selling price of each house he sells, then what would the agent make if the ho
VladimirAG [237]

Answer:

$30600

Step-by-step explanation:

The selling price is $180,000

The commission rate is 17% of this

(17/100) * 180000 = 30600

5 0
3 years ago
Read 2 more answers
sitting on park bench, you see a swing that is 60 feet away and a slide that is 80 feet away. The angle between them is 30 degre
Snowcat [4.5K]
I would use the Pythagorean theorem

4 0
4 years ago
Read 2 more answers
4(4x-2) + 1 =16x - 7. Solutions
Talja [164]

Answer:

4(4x - 2) + 1 = 16x - 7

16x - 8 + 1 = 16x - 7

16x - 7 = 16x - 7

-7 = -7

0 = 0

6 0
3 years ago
Other questions:
  • What is 4.908 in expanded form
    5·1 answer
  • For the following exercises, evaluate the function at the indicated values: f (−3); f (2); f (−a); −f (a); f (a + h).
    14·1 answer
  • PLEASE HELP ME! PLEASE!!
    6·2 answers
  • NutritionCalc Plus uses the equations from the National Academy of Medicine to calculate the Estimated Energy Requirement (EER)
    5·1 answer
  • 3x +4y = - 23<br>2y - x = - 19<br>What is the solution (x, y) to the system of the equations <br>​
    10·1 answer
  • Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, B = {2,4,6,8,10} and C = {1,2,3,4} find (i) U' ii) A∩A' iii) A – ( B U C) iv) A
    5·1 answer
  • How old is abhasra if she was at least 46 years old five years ago​
    6·2 answers
  • If anyone can help me with the second question ASAP thx
    6·2 answers
  • Can someone please help me?
    10·2 answers
  • HELPPP LAST ATTEMPT!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!