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
Trava [24]
3 years ago
14

How many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

You might be interested in
If x+y+z=13 what is the value of (x-1)+(y+1)+(z-1)
Nezavi [6.7K]

Answer:

12

Step-by-step explanation:

(x-1)+(y+1)+(z-1)

= x -1 + y + 1 + z - 1

= x + y + z -1

= (x + y + z) -1

given that x+y+z = 13, substitute this value into the equation aove

(x + y + z) -1

= 13 - 1

= 12

5 0
3 years ago
For every 6 hotdogs sold at the malt shop there are 7 hamburgers sold.What is the ratio of hotdogs sold to hamburgers sold?
omeli [17]
The ratio is 6:7 (hotdogs sold: hamburgers sold)
5 0
3 years ago
Over summer, Brandon counted 8 redbirds, 5 bluebirds, and 3 robins in his backyard. Which ratio compares the number of redbirds
Citrus2011 [14]

Answer:

8/11

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom pa
HACTEHA [7]

Answer:

it is 1:5

Step-by-step explanation:

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Paint Color

Quarts of Red Paint Quarts of White Paint

4 20

5 25

7 35

8 40

Which statement is true about the

ratio of red paint to white paint in the paint color?

it is 1:16

it is 16:1

it is 5:1

it is 1:5

Ratio of red paint to white paint in the paint color = 4 : 20

= 4/20

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 1 : 5

Ratio of red paint to white paint in the paint color = 5 : 25

= 5/25

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 7 : 35

= 7/35

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 8 : 40

= 8/40

= 1/5

= 1 : 5

4 0
3 years ago
Evaluate 4<br> M-n if m= -7 and n = 2.
gregori [183]

Answer:

-30

Step-by-step explanation:

I'm assuming the equation is 4m-n. If it is not please tell me.

If we know the values of m and n, we can just substitute inside the expression.

4(-7) - 2\\\\-28 - 2\\\\-30

Hope this helped!

7 0
3 years ago
Other questions:
  • There are a total of 128 teams at the start of a citywide 3-on-3 basketball tournament. half the teams are eliminated after each
    14·2 answers
  • Simply:12 multipled 15 (mod8)​
    9·2 answers
  • PLEASE HELP ME !!!!​
    10·1 answer
  • I NEED HELP PLEASE
    5·1 answer
  • Reduce then multiply. <br><br> 7/9 x 3/4 = ?<br><br> Example :
    12·1 answer
  • I need help with these two please help me anyone
    9·1 answer
  • Ans all these questions please​
    15·2 answers
  • Can someone help me?
    8·1 answer
  • a bag contains 20 balls numbered from 1 to 20. A ball is drawn at random and then another ball is drawn without replacement. Fin
    9·2 answers
  • HI I am 10 years old and I need help with my math homework, here's what I need help with:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!