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
barxatty [35]
3 years ago
12

Find the solution to the system of equations given below using substitution. PLEASE ANSWER QUICKLY

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

option D

D. x = 5, y = 2

Step-by-step explanation:

Given in the question two equation,

Equation 1

5.3x + y = 28.5

Equation 2

4.2x + 3.1y = 27.2

rearrange equation 1 in terms of y

y = 28.5 - 5.3x

Substitute the value of y in equation 2

<h3>4.2x + 3.1(28.5 - 5.3x) = 27.2</h3>

4.2x + 88.35 - 16.43x = 27.2

4.2x - 16.43x = 27.2 - 88.35

-12.23x = -61.15

x = 61.15/12.23

x = 5

put value of x in any of the equation

<h3>5.3(5) + y = 28.5</h3>

y = 28.5 - 26.5

y = 2

You might be interested in
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?​
Wittaler [7]

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆y = mx + b \\  \\ 7 = 4(2) + b \\  7 = 8 + b \\  \frac{ - 8 =  - 8 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 1 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

☆Using the information we gathered and was given, we just to put them together.

☆y = 4x - 1

3 0
2 years ago
Please help me ASAP!!
Sati [7]

The answer is D, i.e. the system was solved via elimination


If you multiply the first equation by 5, the system becomes


\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.


If you sum the two equations, you get


-16y = 32


And so if you substitute the second equation of system A with this new equation, you'll get system B.

3 0
2 years ago
Note that the right triangles with sides equal to 5, 12, 13 and 9, 12, 13 both have a side equal to 12. using this fact find the
kondor19780726 [428]
There is a mistake 9,12,13 is not a right triangle. but 9,12,15 is. IF you use this triangle instead, then the area of the 13,14,15 triangle is the sum of the area of the other two triangles.
6 0
3 years ago
The length of a rectangle is 5959 inches greatergreater than twice the width. if the diagonal is 2 inches more than the​ length,
lorasvet [3.4K]

Length: 2w + 59

width: w

diagonal: (2w + 59) + 2  = 2w + 61

Length² + width² = diagonal²

(2w + 59)² + (w)² = (2w + 61)²

(4w² + 118w + 3481) + w²  = 4w² + 122w + 3721

5w² + 118w + 3481 = 4w² + 122w + 3721

w² + 118w + 3481 = 122w + 3721

w² - 4w + 3481 = 3721

w² - 4w - 240 = 0

a = 1, b = -4, c = -240

w = [-(b) +/- \sqrt{(b)^{2}  - 4(a)(c) }]/2(a)

 = [-(-4) +/- \sqrt{(-4)^{2}  - 4(1)(-240) }]/2(1)

   =  [4 +/- \sqrt{(16  + 960) }]/2        

  = [4 +/- \sqrt{(976) }]/2  

  = [2 +/- 4\sqrt{(61) }]/2  

  = 1 +/- 2\sqrt{(61) }

since width cannot be negative, disregard  1 - 2√61

w = 1 + 2√61  ≈ 16.62

Length: 2w + 59  =  2(1 + 2√61) + 59  = 2 + 4√61 + 59  =  61 + 4√61  ≈ 92.24

Answer: width = 16.62 in, length = 92.24 in

7 0
3 years ago
One positive number is five times another number is the difference between the two numbers is 1676 find the numbers
AleksAgata [21]

Answer:

The two numbers are -419 and -2095.

Step-by-step explanation:

5x=y

x-y=1676

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

x-5x=1676

-4x=1676

x=1676/-4

x=-419

5(-419)=y

y=-2095

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need help please and thank you
    13·1 answer
  • Xy + 3ey = 3e, find the value of y'' at the point where x = 0.
    12·2 answers
  • Ashley brought 7/8 gallon of lemonade to the party. her friends 2/3 drink of it. how many gallons of lemonade did they drink?
    11·1 answer
  • Dr. Campbell is ordering new student desks for 4th and 5th graders. There are 6 desks in each box that is delivered to the schoo
    15·1 answer
  • Rewrite the expression as a single exponent
    12·2 answers
  • Carla, a nurse in the labor and delivery ward of the hospital, is responsible for measuring the
    6·1 answer
  • Z
    7·1 answer
  • Round 1,658.013 to the nearest hundred
    11·2 answers
  • If 3x − 7 &lt; 29, then which of the following must be true?
    9·1 answer
  • Given that the two triangles are congruent for which value of x are the triangles congruent?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!