3(x-1)=2x+9 how many solutions are there

s2008m [1.1K]

Answer:

x = -3

y = 0

Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

-x + 2y = 3

-x = 3 - 2y

x = 2y - 3 ........ ( iii )

From ( ii ) 

2x - 3y = -6

2x = -6 + 3y

$x = \frac{ - 6 + 3y}{2}$

........ ( iv )

Equating ( iii ) and ( iv )

x = x

$2y - 3 = \frac{ - 6 + 3y}{2}$

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3

4 0

3 years ago

Eight people were asked, "How many times have you been on an airplane?" Their responses are listed below.

Vadim26 [7]

Answer:

Range⇒ 8

Mode⇒ 3

Step-by-step explanation:

Hope this helps

8 0

3 years ago

Read 2 more answers

Mrs. Jefferson would like to wallpaper a wall in her guest room. She would like to wallpaper everything but the door. Each roll

Vanyuwa [196]

Answer: Mrs. Jefferson should plan to spend 119.1 on wallpaper

Step-by-step explanation:

She would like to wallpaper everything but the door. It means that the area to be covered by the wallpaper would be the area of the 4 walls of the room - the area of the door.

The room is 18ft in length and 12ft in width. Thea area of each side of the room is

18 × 12 = 216 square feet

Area of the 4 sides of the room is

216 × 4 = 864 square feet

The door is 7ft in width and 3 ft in length. Area of door is

7 × 3 = 21 square feet

Area to be covered is

864 - 21 = 843 square feet

Each roll of wallpaper covers approximately 160 square ft. Therefore, the number of rolls needed is

843/160 = 5.26

Since the rolls cannot be a fraction, then she needs 6 rolls

Since a roll costs 19.85, the cost of 6 rolls is

19.85 × 6 = 119.1

6 0

3 years ago

Write the sentence as an equation. the sum of 236 and f is equal to 182

frosja888 [35]

Answer:

236+f=182

Step-by-step explanation:

To start with, we know 236 and f are being added together because of the word "sum" in the sentence. We also know they will equal 182, so this is the answer.

5 0

4 years ago

Write an equation:You paid $14.75 for 4 ice cream cones that cost 2.50 each and two drumsticks that were d dollars each

irina1246 [14]

Answer:

d = (14.75 - (4 × 2.50) ÷ 2

Step-by-step explanation:

the cost of 1 drumstick = d

2.50×4=10.00

14.75-10.00=4.75

4.75÷2=2 3/8

2 3/8 = 2.375

4 0

3 years ago