Mathematics : asked on 2anymnt
 03.04.2022

Which of these systems of equations has infinitely many solutions? Explain your choice(s).

a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10

b. 7x + 2y = -14
-7x + 2y = -14

c. x + 6y = -18
x - 6y = 18

d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

. 1

Step-by-step answer

07.01.2023, solved by verified expert
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Answer:

a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10

Step-by-step explanation:

Let us consider the two equations to be :

ax + by = c

Ax + By = C

Now, for the system of equations to have infinitely many solutions :

a/A = b/B = c/C

So, for the given system of equations :

a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
a/A = (1/2)/(-1/2) = -1

b/B = (-5/5) = -1

c/C = 10/(-10) = -1

Thus, it is correct. 

b. 7x + 2y = -14
-7x + 2y = -14
a/A = 7/-7= -1

b/B = 2/2 = 1

c/C = -14/-14 = 1

Thus, it is not correct. 

c. x + 6y = -18
x - 6y = 18

a/A = 1/1 = 1

b/B = 6/-6 = -1

c/C = -18/18 = -1

Thus, it is not correct.

d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

a/A = (3/4)/(-3/4) = -1

b/B = -9/9 = -1

c/C = 12/12 = 1

Thus, it is not correct. 

Hence, correct option is :

a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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Step-by-step answer
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For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
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Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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