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
Goryan [66]
3 years ago
6

Solve following x-y=2 5x+3y=18

Mathematics
2 answers:
Mazyrski [523]3 years ago
6 0
x-y=2 \\ -x\ \ -x \\ -y=-x+2 \\ y=x-2 \\ \\ 5x+3(x-2)=18 \\ 5x+3x-6=18 \\ 8x-6=18 \\ +6\ \ \ \ +6 \\ 8x=24 \\ /8\ \ \ /8 \\ x=3
kvasek [131]3 years ago
5 0
X-y = 2
5x+3y =18 

let do some plug and play 

x-y = 2 
x = 2+y
now we got an answer for x lets plug that in the other equation

5(2+y) + 3y = 18
10+5y + 3y = 18
10 + 8y = 18
8y = 8
y = 1 

now lets find x 
x = 2 +y 

x = 2+ 1 
x = 3. 



You might be interested in
Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?
Annette [7]

Answer:

127 degrees

Step-by-step explanation:

540 degrees is what the interior of a pentagon should add up to. So you do 540-156-72-98-87=127. The measure of the final interior angle is 127 degrees.

5 0
3 years ago
Read 2 more answers
Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation
Alex Ar [27]

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x  and y are two points  representing the  temperature and chirps /min respectively

And  

m= slope

Step 2 : Finding the slope , m

where x1=60

           y1=92

           x2= 75

           y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and  the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

6 0
3 years ago
The floor of the cage measures 11 yardyard wide by 66 feetfeet long. One bag of shavings covers 55 square feetfeet. How many bag
bazaltina [42]

Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

One bag of shavings covers 5 square feet.

To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.

The number of bags needed for the floor of the cage is therefore :

18 / 5 = 3 3/5 bags

5 0
3 years ago
Pleaseeeeeee help mee
BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

4 0
2 years ago
Help me I'm too tired to think and this is easy.
grandymaker [24]

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

8 0
3 years ago
Read 2 more answers
Other questions:
  • Show steps solving this problem 173×797=
    7·1 answer
  • What is the tithe of an income of $97.50
    12·1 answer
  • Help I need somebody help
    14·1 answer
  • Mathemat
    11·1 answer
  • What is adverb meaning​
    12·1 answer
  • Gary won $70,000 in the lottery after all tax deductions. He invested part of the money at 11% and deposited the remainder in ta
    15·1 answer
  • Solve a two- step equation <br><br> 6x+8=50
    12·2 answers
  • Football team scores 42 points in 3<br> games. Find the unit rate
    12·2 answers
  • luis has a cooler full of soda. For every 5 cans of coke there are 3 cans of sprite. if there are 25 cans of coke, how many cans
    7·1 answer
  • Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee po
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!