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
monitta
3 years ago
12

What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

You might be interested in
Calculate the range for the set of numbers <br> 23, 17, 43, 50, 29, 23, 43
Veseljchak [2.6K]

Answer:

The answer is 33

Step-by-step explanation: Range is maximum number in the set minus the minimum number in the set of numbers.

3 0
2 years ago
Read 2 more answers
Does the point (-9,-4) satisfy the equation y = x + 5?
ozzi

Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

Pls mark my answer as the brainliest

5 0
2 years ago
Given congruent triangles name the corresponding sides and corresponding angles
Alborosie

Answer:

See explanation

Step-by-step explanation:

Given \triangle ABC\cong \triangle ADC

According to the order of the vertices,

  • side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
  • side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
  • side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
  • angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
  • angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
  • angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
6 0
3 years ago
A television and DVD player cost a total of $1230. The cost of the television is two times the cost of the DVD player. Find the
nikitadnepr [17]

Answer:

Television = 820

DVD Player = 410

Step-by-step explanation: Imagine the television  as 2, and the DVD player as 1. If you’re were to draw it out with boxes, you’d see that the tv  has two boxes and the DVD player has 1 box. All are exactly the same amount, and there are a total of three boxes. So divided 1230 by 3 and you get 410. Using the idea of the boxes, the DVD player get’s one 410, and the tv gets two 410s, or 820.

6 0
3 years ago
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated tha
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

z = 60.11 - 79.13/6.34

6 0
3 years ago
Other questions:
  • At the movie theatre, child admission is 6.20
    5·1 answer
  • A total of 6 family members will appear in a portrait. if 2 of the family members may sit in the front row how many combinations
    5·2 answers
  • How much gas is 3/8 gallons when used up 2 1/4 gallon of gas?
    9·1 answer
  • Tom has a circular clock with a circumference of 39.88.what is the radius of tom clock, to the nearest hundredth of an inch
    15·1 answer
  • In a standard normal distribution, what percent of values are less than -0.23?​
    9·1 answer
  • What is the point slope from of a line that has a slope of -4 and passes through (-3, 1)
    10·1 answer
  • Greg wants to buy four pieces of candy. They cost $1.37, $0.69, $0.89, and $1.15.
    6·2 answers
  • Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to
    10·1 answer
  • 13<br> y у<br> 3<br> Х<br> 4<br> What is y?
    12·1 answer
  • A side of the triangle below has been extended to form an exterior angle of 145°. Find the value of x.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!