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
mart [117]
2 years ago
6

What is the solution (x,y) to the system of equations below? 3x+4y=-23 2y-x=-19

Mathematics
1 answer:
galina1969 [7]2 years ago
3 0

Answer:

We are going to perform The Elimination Method to find the values of x and y.

Here we have two equations.

3x + 4y = -23 ( Take this as equation 1)

2y - x = 19 Here we can write it as -x + 2y = 19 ( Take this as equation 2)

Before subtracting, we need to check whether either of the coefficients of the variables in both the equations are same in both the both the equations.

Here we find that both the variable in both the equations do not have same coefficients.

So all we have to do is, multiply the coefficient of any variable of the second equation to the first and the same process to the second one also. ( You need to check whether anything is working)

So, from the second equation, I choose 2 ( coefficient of y)

Therefore, 2( 3x + 4y= -23)

It will be 6x + 8y = -46

Now from the first equation i chose 4 ( coefficients of y in both the equations to be cross multiplied.

Therefore, 4( -x + 2y =19)

It will be -4x + 8y = 76

Now we got equal coefficients of y

Now, lets begin our Elimination method. ( subtracting the two equations )

6x + 8y = -46

-( - 4x + 8y = 76)

Therefore we will get 10x = 30

By normal division, You will get x = 3

Now all we have to do is to substitute the value of x (3) to any of the equation. ( One before the multiplication process)

So I choose equation 2=

2y -x = 19

we know that x = 3

So 2y + 3 =19

2y = 19 - 3

2y = 16

Now by Transposing method,

y = 16/2= 8

Now we got the values for x and y

Therefore ( x,y )

= (-3, 8)

You might be interested in
What is the value of (gof)(4)?
Alinara [238K]
I hope this helps you

7 0
2 years ago
Read 2 more answers
2x2-2x-12=0 show expression in factored form show work what do the solutions mean
Nookie1986 [14]

Answer:

x=  −2 or x=3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Ann read 105 pages in 3 hours. How many hours will it take her to read a 280 page chapter book?
icang [17]

it would take them 5 hours and 70 seconds

6 0
3 years ago
The point W(-1,6) translated 5 units left. What are the coordinates of the resulting point, W? PLS HELP ME!!
Vika [28.1K]
I think the answer is (-6,6)
7 0
2 years ago
-3x + 9 = -18 what's the answer
Art [367]

Answer:

x=9

Step-by-step explanation:

subtract 9 from both sides.

-3x = -27

divide by -3

x=9

6 0
2 years ago
Read 2 more answers
Other questions:
  • You have 5 cups of birdseed. You use 3/5 cup of birdseed each day.How many days will your birdseed last
    7·2 answers
  • Help me for 50 points.
    15·2 answers
  • During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
    9·2 answers
  • What is 0.35 as a mixed number or fraction is simplist form
    15·1 answer
  • In the equation, which is true about the value of x?
    7·1 answer
  • Which of the following is an example of the associative property?
    12·2 answers
  • What is the solution to the following equation ? plz help x +(-21)=8
    13·1 answer
  • What’s multiplies to get 18 but adds to get -15
    10·2 answers
  • HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
    14·2 answers
  • 6) Find mZCAB , PLS HELP.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!