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m_a_m_a [10]
2 years ago
6

\fbox \purple{question :-}" alt="\huge \sf \fbox \purple{question :-}" align="absmiddle" class="latex-formula">
How many linear equations in x and y can have a solution as (x = 1, y = 3)?

⚠ kindly don't spam ⚠​
Mathematics
2 answers:
Shkiper50 [21]2 years ago
6 0

Answer:

infinite

Step-by-step explanation:

  • x=1
  • y=3

Let the linear equation in two variables be ax+by+c=0

Put values

\\ \sf\longmapsto 1a+3b+c=0

\\ \sf\longmapsto a+3b+c

Hence for any values it has infinite number of solutions .

including x=1 and y=3

Ilia_Sergeevich [38]2 years ago
4 0

Answer:

<h3>infinitely many equations</h3>

A linear equation in two variable is of the form ax+by+c=0.

We have x=2 and y=3 but we can choose a,b,c accordingly and they can attain infinite values. So, Infinite such equations exist.

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Find two consecutive odd integers such that the sum of the first and three times the second is 98
Mrac [35]

Answer:

23 and 25

Step-by-step explanation:

x and x+2

x+3(x+2)=98

x+3x+6=98

4x=92

x=23

x+2=25

3 0
3 years ago
Stephen &amp; Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a
horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

2x+3x=2950\\\\5x = 2950

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{2950}{5}\\\\x = 590

So we can say that;

Stephen share would be = 2x =2\times 590 = \£1180

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

3y+5y+2y=1180\\\\10y=1180

Dividing both side by 10 we get;

\frac{10y}{10}=\frac{1180}{10}\\\\y=118

So Stephen's wife share = 5y = 5\times 118= \£590

And Stephen's son share = 2y=2\times118 =\£236

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = 590-236 = \£354

Hence Stephen's wife got £354 more than his son.

3 0
3 years ago
Which of the following is the graph of y = negative StartRoot x EndRoot + 1? On a coordinate plane, an absolute value curve curv
mestny [16]

Answer:

  • B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

Step-by-step explanation:

<u>Graph of the function:</u>

  • y = -√x + 1

The domain is x ≥ 0, the range y ≤ 1

Correct answer choice is B

  • On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

<em>The graph is attached</em>

7 0
3 years ago
Read 2 more answers
A standard deck of cards has 52 cards. The cards have one of two colors: 26 cards in the deck are red and 26 are black. The card
sergij07 [2.7K]

Answer:

S={(heart), (diamond), (club), (spade)}  

Step-by-step explanation:

In probability, a set is a well-defined collection of objects, product of an independent successful operation.

A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:

S={(heart), (diamond), (club), (spade)}  

5 0
2 years ago
Which expression is equivalent to one over three p + 15? (4 points) one over three (p + 45) one over three (p + 5) 3(p + 45) 3(p
Oksana_A [137]
Post a picture of the question please
6 0
3 years ago
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