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Ivenika [448]
3 years ago
7

Solve using elimination X- 2y = 3 3x - y = 2

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

<u>Answer:</u> x = 1/5 and y= -7/5

Step-by-step explanation: Let's solve your system by elimination.

Multiply the first equation by -3,and multiply the second equation by 1.

-3 (x - 2y = 3)

1 (3x - y = 2)

Becomes:

-3x + 6y = -9

3x -y = 2

Add these equations to eliminate x:

5y = -7

Then solve 5y = -7

5y/7 = -7/5

y = -7/5

Now that we‘ve found y, let’s plug it back in and solve for x.

Write down an original equation:

x - 2y = 3

<h3>Substitute -7/5 for y in x - 2y = 3:</h3><h3>x - 2 (-7/5) = 3</h3><h3>x + 14/5 = 3</h3><h3>x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)</h3><h3>x = 1/5</h3><h3><u>Answer: </u></h3><h3>x = 1/5 and y = -7/5</h3><h3 /><h3 /><h3 />

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A item is regularly priced at $73 . Manuel bought it at a discount of 45% off the regular price.
ikadub [295]

45 x 73/

100  = 32.85

The answer is 32.85. 32.85 is the price of the item bought after the discount of 45%.

4 0
3 years ago
Read 2 more answers
Message
dezoksy [38]

Answer:

Part A

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

192 bottles

Step-by-step explanation:

The given parameters are;

The selling price of a can of lemonade = $2.50

The selling price for each bottle of water = $1.25

The amount the club needs to raise to cover the cost of renting costumes, A = $600

The maximum acceptable cans and bottles = 460

Part A

Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;

The situation can be represented by the following system of inequalities

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

The number of cans of lemonade sold, x = 144

Therefore, we have;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles

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3 years ago
On her way to visit her parents,Jennifer drives 265 miles in 5 hours.What is her average rate of speed in miles per hour ?
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Answer: The average rate of speed in miles per hour that Jennifer was going is 53 miles per hour. 265/5=53



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4 years ago
The height of a wooden pole, h, is equal to 20 feet. A taut wire is stretched from a point on the ground to the top of the pole.
kykrilka [37]

ANSWER

D. 25 feet

EXPLANATION

The height of the wall,h, the taut wire and the distance from the base of the pole to the point on the ground, formed a right triangle.

According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.

Let the hypotenuse ( the length of the ) taught wire be,l.

Then

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{l}^{2}  =  {20}^{2}  +  {15}^{2}

{l}^{2}  =  400 + 225

{l}^{2}  =  625

l=  \sqrt{625}  = 25ft

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