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
Solve for the variable
jolli1 [7]
Step 1: -6a + 3 = -3(2a - 1)
Step 2: -6a + 3 = -3(2a) + 3(1)
Step 3: -6a + 3 = -6a + 3
Step 4:+6a         +6a
Step 5:          3 = 3

The variable of x is equal to Any infinite number.
6 0
3 years ago
Roduct of 0.42 * 0.2
oee [108]

Answer:

0.084

Step-by-step explanation:

0.42 * 0.2 = 0.084

6 0
3 years ago
I need you to help me solve this
Svet_ta [14]
For the expression to be factor-able the Discriminant  , has to be greater or equal to zero
ax^2 + cx + b = 0


c^2 - 4 ab >= 0 

(-3)^2 - 4 * 1 * b >= 0

9 - 4b >= 0

9 >= 4b

b <= 9/4  (2.25)

Pick any value in that range for ex:

0 , 2,  -3, -6

7 0
3 years ago
Ignore the writing but someone help please
vazorg [7]

Part (a)

The picture alone, without the frame, is 16 by 20

When accounting for the frame, the larger rectangle is 16+2x by 20+2x

We add up all four sides to get the perimeter

(16+2x)+(20+2x)+(16+2x)+(20+2x)

8x+72

or you can use this perimeter of a rectangle formula

P = 2(L+W)

P = 2(20+2x+16+2x)

P = 2(4x+36)

P = 8x+72

Answer: 8x+72

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

Part (b)

Multiply the length and width to find the area of the rectangle.

area = length*width

A = L*W

A = (20+2x)*(16+2x)

A = 20(16+2x) + 2x(16+2x)

A = 320+40x + 32x + 4x^2

A = 4x^2 + 72x + 320

Answer: 4x^2 + 72x + 320

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

Part (c)

Plug x = 2 into the perimeter equation found in part (a)

P = 8x+72

P = 8*2+72

P = 16+72

P = 88

Now plug x = 2 into the area equation found in part (b)

A = 4x^2 + 72x + 320

A = 4(2)^2 + 72(2) + 320

A = 4(4) + 72(2) + 320

A = 16 + 144 + 320

A = 160+320

A = 480

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

Answers:

Perimeter = 88 inches

Area = 480 square inches

3 0
3 years ago
3xy - ² + 4x for x = -2, y = - and = 6?
Kitty [74]

Answer:

See below

Step-by-step explanation:

Not sure what you are asking....do you want to know what y is when x = -2   and the equation = 6 ?

3 xy^2 + 4x = 6         or is that    3 xy^(-2) + 4x = 6

Could use some serious editing of your question if you are able ....

7 0
2 years ago
Other questions:
  • What is the area of parallelogram RSTU?
    8·2 answers
  • 7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
    7·1 answer
  • Karen is paid $6.25 per hour. Last week she worked 4 hours on Monday, 3 ½ hours on Tuesday, 5 hours on Wednesday, 2 hours on Thu
    15·2 answers
  • Which value of x makes the equation true? x – 18.7 = –12
    15·1 answer
  • Simplify the following expression. 1/3 (27-21x)
    9·2 answers
  • 61,57,52,57,54 whats the median
    9·1 answer
  • Pinks vary inversely as yellows cubed. When there are 250 pinks, there're 5 yellows. How many pinks are present when there're 25
    13·1 answer
  • A full glass of water can hold 1/6 of a bottle.
    5·2 answers
  • PLEASE HURYY
    6·1 answer
  • The length of a rectangle is twice its width. If the rectangle's perimeter is 200
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!