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Readme [11.4K]
3 years ago
13

Solve the system of linear equations by substitution. y=2x-3 y=-x+9

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

x=4, y=5. (4, 5).

Step-by-step explanation:

y=2x-3

y=-x+9

----------

2x-3=-x+9

2x-(-x)-3=9

2x+x=9+3

3x=12

x=12/3

x=4

y=2(4)-3=8-3=5

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student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at la
erik [133]

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720                    (1)

A + B = 120                                          (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

4 0
3 years ago
Read 2 more answers
What number goes on top and how do you solve it.
vekshin1
So basically, each number is equal to the two numbers below it added together.

See, 7 = 3+4, 8 = 5 +3, etc.

So, the top would be 16 + 17.

16 + 17 = 33

So 33 goes on top.
4 0
3 years ago
You eat 18 grams of your daily carbohydrates which is 6% of daily needs what is your daily need
adell [148]

Answer:

300 grams

Step-by-step explanation:

To find the total  number of carbohydrates, you need to find what fraction 6 is of 100, so you can do 100/6, but I just did 18* 100/6 right away, so that you can find 18* the fraction that 6 is of 100. The answer that I got is 300 grams. Hope this helps!

7 0
3 years ago
A cell phone provider offers a plan that costs ​$30 per month plus ​$0.10 per text message sent or received. A comparable plan c
mariarad [96]

300 messages would have to be sent or received in order for the plan to cost same each month.

Step-by-step explanation:

Given,

Cost per month = $30

Per text sent or received charges = $0.10

Let,

x be the number of texts sent or received.

A(x) = 0.10x+30    

A comparable plan costs = $60 per month

Text messages are unlimited.

B(x) = 60

For the two plans to cost equal;

A(x) = B(x)

0.10x+30=60\\0.10x=60-30\\0.10x=30

Dividing both sides by 0.10

\frac{0.10x}{0.10}=\frac{30}{0.10}\\x=300

300 messages would have to be sent or received in order for the plan to cost same each month.

Keywords: function, addition

Learn more about functions at:

  • brainly.com/question/2860697
  • brainly.com/question/2977815

#LearnwithBrainly

3 0
3 years ago
My grades depend on this question! Please help! Brainliest will be given out for this!​
Svetradugi [14.3K]

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

8 0
3 years ago
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