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
MrRa [10]
3 years ago
8

What is the y-value in the solution to this system of linear equations?

Mathematics
2 answers:
baherus [9]3 years ago
4 0

Answer:

Option  A.)−4

Step-by-step explanation:

we have

4x+5y=-12 -----> equation A

-2x+3y=-16 -----> equation B

Solve the system of equations by elimination

Multiply the equation B by 2

2*(-2x+3y)=-16*2

-4x+6y=-32 -----> equation C

Adds equation A and equation C

4x+5y=-12

-4x+6y=-32

-----------------

5y+6y=-12-32

11y=-44

y=-4

Alik [6]3 years ago
3 0

Answer with Step-by-step explanation:

We are given a system of linear equations:

4x + 5y = −12

-2x + 3y = −16

Multiply second equation by 2 and add it to first equation.

4x+5y-4x+6y= -12-32

⇒ 11y= -44

Dividing both sides by 11

⇒ y= -4

Hence, the y-value in the solution to the system of linear equations

4x + 5y = −12

-2x + 3y = −16    is:

A.)−4

You might be interested in
What is the probability that the teacher chooses a girl to answer the question?
Mademuasel [1]
What? Is this even a real question you need help with ?
6 0
3 years ago
One troop member So tickets for 33 crab meals and 20 vegetarian meals with a total receipt of $2025 another sold tickets for 30
natima [27]

Answer:

Therefore the cost of a crab meal and a vegetarian are $40.41 and $1.94 respectively.

Step-by-step explanation:

Given that,tickets for 33 crab meals and 20 vegetarian meal with total receipt of $2025. Another sold ticket for 30 crab meal and 11 vegetarian meals with total receipt of $1827.

Let the cost of a crab meal and a vegetarian meal be x and y respectively.

The cost of a crab meal is x

The cost of 33 crab meal is $33x

The cost of 30 crab meal is $30x

The cost of a vegetarian meal is y.

The cost of 20 vegetarian meal is $20y.

The cost of 11 vegetarian meal is $11y

According to problem,

33x+20y=2025

33x+20y-2025=0........(1)

        and

30x+11y=1827

30x+11y-1827=0 ..........(2)

Cross Multiplication Method,

a_1x+b_1y+c_1=0

a_2x+b_2y+c_2=0

\frac{x}{b_1c_2-b_2c_2}=\frac{y}{a_2c_1-a_1c_2}=\frac{1}{a_1b_2-a_2b_1}

{x}=\frac{b_1c_2-b_2c_2}{a_1b_2-a_2b_1}

{y}=\frac{a_2c_1-a_1c_2}{a_1b_2-a_2b_1}

Here a_1=33,b_1=20,c_1=-2025, a_2=30,b_2=11,c_2=-1827

\therefore x=\frac{20.(-1827)-11.(-2025)}{33.11-30.20}                   y=\frac{30.(-2025)-33.(-1827)}{33.11-30.20}

     \approx 40.41                                              \approx 1.94

Therefore the cost of a crab meal and a vegetarian are $40.41 and $1.94 respectively.

8 0
3 years ago
What is the exact volume of the cone?
Schach [20]
The answer is
D: 160π cm^3
5 0
3 years ago
Read 2 more answers
Look at this view so cool right?
forsale [732]

Answer:

ahhhh so prettyyyyy

Step-by-step explanation:

5 0
3 years ago
Simplify y 2 + 4y - 16y + 3y 2.
algol13
First, add or subtract all variables
y2 + 4y - 16y + 3y = -7y
-7y + 2 is your answer 
5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression.
    9·2 answers
  • Please help, its urgent
    10·1 answer
  • Which ordered pair is the best estimate for the solution of the system of equations?
    15·1 answer
  • Can some please solve this ?
    12·1 answer
  • 75% of what number is 105?_____
    11·2 answers
  • joshua drinks 8 cups of water a day. The recommened daily amount is given in fluid ounces. How many fluid ounces of water does h
    9·2 answers
  • Bailey has a video streaming service with a flat monthly fee of $18.00 plus an additional cost of $3.50 for each premium movie r
    9·2 answers
  • The diagram shows a right angle.<br> Write an equation to determine the value of x. Solve for x.
    8·2 answers
  • Steven is building a rectangular wooden frame for his mattress. If the mattress is 7 feet long by 6 feet wide, what is the
    15·2 answers
  • Please help :)<br> If it's correct I might give your brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!