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
Nara got two new plants for her apartment. Each plant grew at a constant rate.
stira [4]

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster?  B. The second plant

Step-by-step explanation:

Slope of the first plant :

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

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

7 0
3 years ago
There are 220 students in Year 9
e-lub [12.9K]

Answer:

132 and 88

Step-by-step explanation:

If there are 20% more boys than girls, then this means that the total percentage of boys us 60% and girls is 40%.

0.6 * 220 = 132

0.4 * 220 = 88

There are 132 boys and 88 girls in year 9

5 0
2 years ago
What are the coordinates of point f?<br> A) (7,5)<br> B) (7,-5)<br> C) (-5,7)<br> D) (5,-7)
aliina [53]
Ahh, point F.  I know where point F is.  Its right over there on the graph.

No, im kidding.

Please provide a graph
5 0
2 years ago
How far above sea level is the ranger station?
Schach [20]
Since he descended 12 meters, we subtract this from the overall height of Mount Ka'ala, so then we are only calculating how high ABOVE the sea level it is.

1232 - 12 = 1220

The height of Mount Ka'ala is therefore 1,220 meters.
To calculate how much a fifth of Mount Ka'ala is (since the ranger station is 2/5's up), we would divide this number by 5

1220 ÷ 5 = 244

Since ONE fifth of the height is 244 meters, TWO fifths would be double that amount.

244 x 2 = 488

488 meters.
The ranger station is 488m above sea level.
3 0
2 years ago
Solve the system by subtitution y = 3x + 18 y = 5x
elena-14-01-66 [18.8K]

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

3 0
2 years ago
Other questions:
  • X-3<br> 20 72 <br> How to solve tan, sin, cos
    6·1 answer
  • In rectangle KLMN, KM =6x + 16, and LM =49. find the value of x
    13·1 answer
  • The length of a rectangle is 8 cm more than it’s width. The perimeter is 68 cm. Find the length and the width of the rectangle.
    6·1 answer
  • What is this rounding to the nearest hundred thousand 289,659
    9·2 answers
  • Joe brought six pack packages of envelopes each package contains 125 envelopes how many envelopes did he buy
    15·1 answer
  • How do I do the substitution method?
    11·2 answers
  • Please help ! This is due today .
    11·2 answers
  • PLS HELP FOR 60 POINTSS PLSS IF U HELP ILL SEND 30 MORE POINTSS
    9·1 answer
  • (-2x-3)+(4c+6z)+(7+3c)
    8·1 answer
  • I dont know this one to help i put brainliest for the best answer and correct one
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!