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elena-14-01-66 [18.8K]
3 years ago
9

Tell wheather the system has one solution, infinitely many solutions, or no solution.

Mathematics
1 answer:
ipn [44]3 years ago
5 0
<h3>Answer:</h3>
  1. One solution: (x, y) = (2, 0)
  2. Infinitely many solutions: 2x -5y = 17
<h3>Step-by-step explanation:</h3>

1. When you put the second equation in standard form, it is ...

... 5x +3y = 10

This is a different equation than the first one, so there will be one solution where the lines interect. (Adding the two equations gives 10x=20 ⇒ x=2. Since adding or subtracting y gives the same result, y must be zero.)

2. When you put the second equation in standard form, it is the same as the first:

... 2x -5y = 17 . . . . . divide the equation by 3

That is, any (x, y) values that satisfy the first equation will also satisfy the second equation (since they are the same). There are an infinite number of (x, y) values that do so.

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Which sequence begins with 1 and follows this rule? multiply by 2 and add 1.
Olin [163]
Change the information into an equation and do sequence. pull out any necessary information.
y = 2x + 1
starts at 1... so your first sequence is 1.
plug in x=1 then it becomes 3. then the next sequence you plug in 3 (, the answer to your previous solve) you get 7. continue to do this. next sequence you plug in x=7 into the equation y = 2x + 1.
thus, y = 2(7) + 1 =15... so forth...
therefore the answer is B.

Hope this helps :)
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3 years ago
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3 years ago
Solve for s.<br> 0.5s +1= 7+ 4.58<br> S =?
Lana71 [14]

Answer:

s = 21.16

Step-by-step explanation:

0.5s +1= 7+ 4.58

Combine like terms

0.5s +1=11.58

Subtract 1 from each side

0.5s +1-1= 11.58-1

.5s = 10.58

Multiply by 2

.5s *2 = 10.58*2

s = 21.16

4 0
3 years ago
Read 2 more answers
Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries a
stira [4]

4 fries + 6 cheeseburgers = $52

3 fries + 2 cheeseburgers = $24

9 fries + 6 cheeseburgers = $24×3

= $72

$72-$52=$20

5 fries = $20

1 fries = $20÷5

= $4

1 cheeseburger = [$24 - (3×$4)]÷2

= $6

7 0
2 years ago
Tickets to a show cost different for seniors, children, and adults. Adult tickets are twice as much as senior tickets. Two senio
aleksklad [387]
A = 2s
c + 2s = 17 .....c + a = 17 (I subbed in "a" for 2s)
2c + a = 24

c + a = 17 .....(-1)
2c + a = 24
---------------
-c -a = -17...result of multiplying by -1
2c + a = 24
---------------add
c = 7

2c + a = 24
2(7) + a = 24
14 + a = 24
a = 24 - 14
a = 10

a = 2s
10 = 2s
10/2 = s
5 = s

so, senior tickets (s) cost $ 5,  adult tickets (a) cost $ 10, and child tickets (c) cost $ 7

1 adult ticket + 1 senior ticket would cost $ 15
5 0
3 years ago
Read 2 more answers
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