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
Scilla [17]
3 years ago
10

Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.

Mathematics
2 answers:
Marianna [84]3 years ago
7 0

Answer:

(8,-1)

Step-by-step explanation:

The point of intersection can be found out by solving the system of equations.

  1. x + 3y = 5
  2. 3x - 2y = 26

<u>Multiply</u><u> </u><u>(</u><u>1</u><u>)</u><u> </u><u>by </u><u>3 </u><u>:</u><u>-</u><u> </u>

→ 3 ( x + 3y ) = 5 × 3

→ 3x + 9y = 15

<u>Subtracting</u><u> </u><u>3(</u><u>1</u><u>)</u><u> </u><u>and </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

→ 3x + 9y - 3x +2y = 15 - 26

→ 11y = -11

→ y = (-1)

<u>Put </u><u>it </u><u>in </u><u>1</u><u> </u><u>:</u><u>-</u>

→ x -3 = 5

→ x = 3 + 5

→ x = 8

<h3>Hence the point of intersection is (8,-1)</h3>
Zolol [24]3 years ago
4 0

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

You might be interested in
1. 3x + 7 = 13 (x = -2; x = 2; x = 5)
White raven [17]

3x + 7 = 1 3

3x = 13 - 7

3x = 6

x = 6/3

x = 2

7 0
3 years ago
Read 2 more answers
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
andrew11 [14]

Answer:

Step-by-step explanation:

Given that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 std dev = 2(20) =40

Hence 2 std deviation means

20-40, 20+40

i.e. (0,60)

P(0

5 0
3 years ago
Rebeca spent $32.55 for a photo album and three identical candles. The photo album cost $17.50 and the sales tax was $1.55. How
Marina86 [1]

Answer: $4.50 per candle

Step-by-step explanation:

$32.55 - $17.50 - $1.55 = $13.50 for all the candles

To find the price of a single candle we divide our answer by 3

13.50/3 = $4.50

3 0
3 years ago
1/3 X 12 = 12 X ___ = __
valkas [14]
1/3=4 hop this help you
8 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
miv72 [106K]

Answer:

○\displaystyle negatively\:skewed

Step-by-step explanation:

This is where your <em>median</em> is near the lower quartile.

I am joyous to assist you anytime.

7 0
3 years ago
Other questions:
  • What is the equation for the line that passes through the points (3, 4) and (-2, 4)?
    15·1 answer
  • What’s the area of PQSU? ______sq mi
    14·2 answers
  • An adult elephant drinks about 225 liters of water each day. Is the
    8·1 answer
  • HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR
    12·2 answers
  • Identify the domain and range of the relation. Represent the relation with a
    12·1 answer
  • Kyle created this graph of a function using his graphing calculator. What is the equation of Kyle’s graph?
    12·1 answer
  • Nelly has a large rectangular postcard that is 9 inches long and 4 inches wide. What is the area of the postcard?
    5·2 answers
  • Suppose a is a positive number and b is a negative num-
    15·2 answers
  • GEOMETRY!!!! Will give brainliest
    8·1 answer
  • A baseball team played 32 games and lost 8. Katy was the catcher in of the winning games and of the losing games. In how many ga
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!