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
kramer
2 years ago
14

43. Write a system of equations that is equivalent to each of the systems of equations below

Mathematics
1 answer:
olchik [2.2K]2 years ago
6 0

1.

The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

brainly.com/question/2972832

You might be interested in
I need to find the GCF and solve to get the right answer. And ASAP if ossicle please
BartSMP [9]

I just know the greatest common factor is 2ab

But i don’t know if it is foil method but I still don’t know how to put it in that format

6 0
3 years ago
Brainliest for help! <br> Sketch a graph of the function <br> y =sin(x) + 2
diamong [38]

Answer:

The parent sine graph y=sin(x) has a range of -1 ≤ y ≤ 1

It crosses the x-axis x = 0° ± 180°n

The maximum points occur when x = 90° ± 360°n and y = 1

The minimum points occur when x = 270° ± 360°n and y = -1

The sketch the graph of function y=sin(x)+2 we simply move the graph of y=sin(x) up 2 units.

So this means it will have a range of 1 ≤ y ≤ 3

It no longer crosses the x-axis.

The maximum points occur when x = 90° ± 360°n and y = 3

The minimum points occur when x = 270° ± 360°n and y = 1

<u>Attached diagram</u>

The parent function y=sin(x) is shown in grey (dashed line)

The function y=sin(x)+2 is shown in red.

4 0
2 years ago
Identify the domain of the function shown in the graph.
Klio2033 [76]

Step-by-step explanation:

The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)

5 0
2 years ago
The side lengths of a triangle are 12,^149,^5. Is the triangle a right triangle?
Paladinen [302]

Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

5 0
3 years ago
Find the GCF ( Greatest Common Factor)<br><br><br>18;45<br><br><br>24;16
nika2105 [10]
18;45 = 9

24;16 = 8

I hope this helps
8 0
3 years ago
Other questions:
  • How do you write an equation of a line in standard form if you have two points?
    12·1 answer
  • Which is not an advantage of using a histogram to represent data
    6·1 answer
  • Re-write as a mixed number.<br> 54/12
    13·1 answer
  • A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running
    11·1 answer
  • How many roots do the functions have in common?<br> f(x)=x^2-4x-5
    8·1 answer
  • What is the value of x to the nearest tenth? <br> A) 3.3<br> B) 9.5<br> C) 8.0<br> D) 4.7
    15·1 answer
  • What is the best way to describe the changes to the characters in the story "Thank You, Ma'am?"
    14·2 answers
  • If n=11 what is p pls help me
    15·1 answer
  • A stylist charges $20.00 per haircut. The total cost for running her home-based business is $4,000.00 per month, which includes
    7·1 answer
  • What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!