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Zanzabum
3 years ago
14

The sum of two numbers is 35. Their difference is 3. Find the numbers

Mathematics
2 answers:
STatiana [176]3 years ago
5 0

Step-by-step explanation:

<em>le</em><em>t</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>y</em><em> </em><em>represent</em><em> </em><em>the</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>numb</em><em>e</em><em>r</em><em>s</em>

<em>x+y</em><em> </em><em>=</em><em>3</em><em>5</em><em>.</em><em> </em><em> </em><em> </em><em>eqn</em><em> </em><em>1</em>

<em>x-y</em><em> </em><em>=</em><em>3</em><em>.</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>eqn</em><em> </em><em>2</em>

<em>let</em><em> </em><em>elim</em><em>i</em><em>n</em><em>a</em><em>t</em><em>e</em><em> </em><em>x</em><em> </em><em>by</em><em> </em><em>subtra</em><em>cting</em><em> </em><em>2</em><em> </em><em>f</em><em>r</em><em>o</em><em>m</em><em> </em><em>1</em>

<em>2</em><em>y</em><em> </em><em>=</em><em>3</em><em>2</em>

<em>divide</em><em> </em><em>both</em><em> </em><em>side</em><em> </em><em>by</em><em> </em><em>3</em>

<em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em>

<em>put</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em><em> </em><em>in</em><em> </em><em>eqn</em><em> </em><em>1</em>

<em>x</em><em>-</em><em>1</em><em>6</em><em> </em><em>=</em><em>3</em><em>5</em>

<em>x</em><em> </em><em>=</em><em> </em><em>3</em><em>5</em><em>-</em><em>1</em><em>6</em>

<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em>1</em><em>9</em><em>,</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>y</em><em> </em><em>=</em><em>1</em><em>6</em>

IgorLugansk [536]3 years ago
4 0

Answer:

19 and 16

Step-by-step explanation:

Let x and y be the two numbers

x+y = 35

x-y =3

Add the two equations together

x+y = 35

x-y =3

---------------

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

Solve for y

x-y = 3

19-y = 3

Subtract 19 from each side

19-19 -y = 3-19

-y = -16

y =16

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Find the equation of the line with slope = -8 and passing through (9,-73). Write your equation in the form
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Answer:

1. Find the equation for the line that passes through (−2,9) that has slope 7/3 Give your answer in point-slope form. You do not need to simplify. 2. Find the equation of the line with slope = -4 and passing through (-6,29). Write your equation in the form y= 3. Find the equation for the line that passes through the points (7,−4) and (4,9). Give your answer in point-slope form. You do not need to simplify.

Step-by-step explanation:

7 0
2 years ago
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Which of the following is a solution of y - x &gt; -3?
Colt1911 [192]
X<<span>y+<span>3 its simple here is your answer</span></span>
4 0
3 years ago
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution:
Mice21 [21]

Their LCM is

70

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2 years ago
What’s is the solution to the equation x to the power of 2 =16/25
skelet666 [1.2K]

Answer:

x=\dfrac{4}{5}

Step-by-step explanation:

The given equation is :

x^2=\dfrac{16}{25}

We need to find the value of x.

When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

x=\sqrt{\dfrac{16}{25}}

We know that, 4×4= 16 and 5×5 = 25

So,

x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}

So, the solution of the given equation is 4/5.

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PLEASE HELP! due tmr! <br><br> 24<br> 26<br> 55<br> 99
SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. <em>x° + 55° + (4x - 5)° = 180</em>°

We can remove the brackets to form; <em>x° + 55° + 4x° - 5° = 180°</em>

We can get rid of the like terms by either <em>adding </em>or <em>subtracting </em>them.

<em>x° + 4x° + 55° - 5° = 180°</em>

<em>5x° + 50° = 180°</em>

We can then subtract 50° from both sides.

<em>5x° = 180° - 50°</em>

<em>5x° = 130°</em>

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They <u><em>should always</em></u> add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0
3 years ago
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