All categories

2 years ago

The system px +qy =r; fx + gy = h has solution(3,-1), where f,g,h,p,q, and r are nonzero real numbers.

Mathematics

1 answer:

Andrej [43]2 years ago

6 0

The equivalent system of equations that would guarantee a solution of (3,-1) are

a. (p+f)x+(q+g)y= r+h and fx+gy=h
d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
e. px+qy+r and 5fx+ 5gy = 5h

<h3>How to determine the system of equations?</h3>

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

You might be interested in

A STORY OF UNITS

Aleks04 [339]

Answer:

$40 will be the total cost of the ribbon.

Step-by-step explanation:

To find the cost of ribbon to be put on the edges of rectangular banner, we need to:

1. Find the perimeter of the rectangle.

2. Multiply the perimeter with the per foot cost to find the total cost.

Let us find the perimeter first:

Perimeter of a rectangle is given as:

$P = 2 \times \text{(length+width)}$

Here, the dimensions of rectangle are 4ft by 6ft.

So, perimeter = $2 \times (4+6) \Rightarrow 20\ ft$

It is given that per foot cost is $2.

Total cost of the ribbon = $2 \times 20 \Rightarrow $40$

$40 will be the total cost of the ribbon.

7 0

4 years ago

Convert this franction into a percentage 9/12?

kolbaska11 [484]

Hello, Yoloalanis. In order to solve this question that you have just posted, you only have to do a few simple steps. So, We can do this!

Let's start with your fraction. You will first have to change 9/12 into a decimal. In order to do this, you will have to divide the numerator by the denominator. A numerator is also known as the top part of the fraction. A denominator is the bottom part of the fraction. So, when you divide nine by twelve, you get 0.75 as a decimal. Now, you just have to multiply the decimal by 100 or to make it simpler, just move the decimal two places to the right. To sum it all up, you will get 75%.

Hope it helps :)

5 0

4 years ago

Read 2 more answers

Find the greatest common factor of the following monomials 49a4b3 21a4b5

Mazyrski [523]

Answer:

$7a^4b^3$

Step-by-step explanation:

$49a^4b^3 \\ 21a^4b^5$

GCF: $7a^4b^3$

3 0

3 years ago

Please help me!! Will mark Brainliest!!

yawa3891 [41]

Step-by-step explanation:

A ratio reduced is the correct answer

hope it is helpful to you

8 0

3 years ago

Read 2 more answers

Find a number in the sequence 1) 100, 400, 610, ?, 652 2) 342, 128, ?, 26

dsp73

Answer:

1. 460

2. 216

Step-by-step explanation:

From the series ,

100 , 400 , 610 , ? , 652

Writing the the digits in the revere order , i.e

001 , 004 , 016 , ? , 256

Now,

Now , getting the number in the form of the multiple of 4 as -

1 , 1 * 4 = 4 , 4 * 4 = 16 , ? , 64 * 4 = 4

Hence , the value for ? = 16 * 4 = 64 .

Again , reversing 64 to get the missing number of the series -

460 .

Hence ,

The value for ? is 460 .

From the series ,

342 , 128 , ? , 26

Now, multiplying the first digit with the second digit and merging it to the product of the second and third digit -

3 * 4 and 4 * 2 , 1 * 2 and 2 * 8 , ?

128 , 216 , ?

Hence ,

The value for question mark = 1 * 2 and 1 * 6 = 216

Hence ,

The value for ? is 216 .

4 0

3 years ago