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
natima [27]
3 years ago
10

Solve this system of equations. y = 5x +20 and y = -2x -8

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

y = 0

x = -4

( x, y ) = ( -4 , 0 )

Step-by-step explanation:

y = 5x + 20

y = -2x - 8

Substitute

5x + 20 = -2x - 8

Add 8 on both sides

5x + 20 + 8 = -2x - 8 + 8

5x + 28 = -2x

Subtract 5x on both sides

5x - 5x + 28 = -2x - 5x

28 = -7x

Divide by -7 on both sides

28/-7 = -7x/-7

-4 = x

Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

y = 5x + 20

y = 5(-4) + 20

y = -20 + 20

y = 0

Or....

y = -2x - 8

y = -2(-4) - 8

y = 8 - 8

y = 0

They will both be 0 no matter what

Point form = ( -4, 0 )

Hope this helped

You might be interested in
Solve.<br><br>(Sorry About my handwriting)<br>​
Varvara68 [4.7K]

Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever

7 0
2 years ago
A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a
dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


6 0
3 years ago
PLEASE HELP. <br> I know how to do these but I'm stuck on this one.
Nezavi [6.7K]

Steve ran 11 miles

let the distance Steve ran be x

Then distance Kevin ran is x + 4 ( 4 miles more than Steve )

x + x + 4 = 26 ( the sum of their distance is 26 )

2x + 4 = 26 ( subtract 4 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles

check 11 + 15 = 26


5 0
3 years ago
A scientist began a study with a sample of 1,500 bacteria. He noticed that
dedylja [7]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Solve the simultaneous equations 4x-3y=19 and 2x+3y=23​
kogti [31]
The answer is x=7 and y=3

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many gallons of paint are needed to paint the walls of a rectangular​ prism-shaped room that is 20 ft by 14 ft and 8 ft high
    7·1 answer
  • There are 20 light bulbs in 5 packages.Complete the table to find the rate that gives you the number of light bulbs in 3 package
    11·1 answer
  • A + (-25)=75 <br> Solve the equation
    12·1 answer
  • Solve for x.<br><br> please help me
    7·1 answer
  • Graph the following inequality on the number line above. 3x &lt; 12
    9·1 answer
  • A diagram shows circles to represent the populations of various countries in the world. The circle for India has a radius of 3.2
    9·1 answer
  • Plzzzz help..
    7·1 answer
  • About to submit a topic test, wish me luck!!!
    10·2 answers
  • Plz someone help ASAP if you can
    12·2 answers
  • 5 less than one third of c
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!