1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Can someone please answer this ASAP?
Ipatiy [6.2K]

Answer:

Letter C

Step-by-step explanation:

Given:

5a+18

Subtract 18 from both sides

5a

Divide 5 from both sides to get a alone

a

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

6 0
3 years ago
What is the unit rate for the ratio 280 student/8 buses​
liubo4ka [24]

Answer:

Step-by-step explanation:

280 students/8 buses= 35 students/ 1 bus

answer is A

5 0
3 years ago
If the sales tax is 7% how much tax will u pay on a cd that costs 15$
Morgarella [4.7K]
15*0.07= 1.05 so 7% of 15 is 1.05. we add this to the total so 7% tax is going to be a price of $16.05
6 0
2 years ago
Read 2 more answers
Help!!!!!only 30 min !!!!!!first RIGHT ANSWER will get brainliest!!!!!!!SOS!!!
katrin [286]

Answer:

a. b= - 4    c. p= 201   b.x=23.45

Step-by-step explanation:

6 0
2 years ago
I need help with my math please help.
Misha Larkins [42]
The lines are more then you think they are
7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP WITH MY GEOMETRY HOMEWORK
    8·1 answer
  • What should be statement 3? Need Quickly please!
    13·1 answer
  • -3 (x-1)+8 (x-3)=6x+7-5
    10·1 answer
  • The answer to an addition problem is called a ___.\
    6·1 answer
  • If the m_X = 34° and the mZZ = 26, what is the m_Y?
    7·1 answer
  • PLEASE HELP ME I’m desperate
    10·1 answer
  • A book contains the following recommend weight for kangaroos:" Give the kangaroo 120 pounds for the first 5 feet plus 5 pounds f
    13·1 answer
  • Do this for a lot of points and brainly!!! Asap
    9·2 answers
  • A tree is 8 meters tall . what is its height in feet
    10·2 answers
  • 2. Try It #2 The population of a small town increased from 1,442 to 1,868 between 2009 and 2012 . Find the change of population
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!