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
Maslowich
3 years ago
5

Solve the following system of equations: 2x + 4y − 3z = −7 3x + y + 4z = −12 x + 3y + 4z = 4

Mathematics
2 answers:
lukranit [14]3 years ago
4 0

2x + 4y − 3z = −7 ---> first equation

3x + y + 4z = −12   ---> second equation

x + 3y + 4z = 4   ---> third equation

We try to eliminate z  and make two equations

Multiply first equation by 4 and second equation by 3. then add both equations

8x + 16y -12z = -28

9x + 3y +12z = -36

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

17x + 19y = -64   ---------------> equation 4

multiply third equation by -1  and add second and third equation

3x + y + 4z = −12  

-x - 3y - 4z = -4    

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

2x -2y = -16        ---------------> equation 5

Multiply equation 4 by 2 and equation by 19

34x + 38y = -128

38x - 38y = -304

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

72x  = -432

Divide by 72 on both sides

x = -6

use equation 2x -2y = -16        ---------------> equation 5

2(-6) - 2y = -16

-12 -2y = -16

-2y = -4

So y = 2

Now plug in 2 for y  and -6 for x

Using any one of the three equations

x + 3y + 4z = 4  

-6 + 3(2) +4z = 4

4z = 4 (divide by 4 on both sides)

So z=1

So x= -6, y = 2  and z= 1





Sauron [17]3 years ago
4 0

Answer:

(-6,2,1)

Step-by-step explanation:

You might be interested in
5 less than a number y is under 20.
klio [65]

Answer:

y - 5 < 20

y < 25

Step-by-step explanation:

y - 5 < 20

y < 25

4 0
3 years ago
Write in exponential notation: 301=​
dalvyx [7]

Answer:

3.01 * 10^2

Step-by-step explanation:

=)

Hope this helps!

4 0
2 years ago
Eva works as a salesperson at an electronics store and sells phones and phone accessories. Eva earns a $8 commission for every p
adoni [48]

Answer:

Hope this helps out dude!

Step-by-step explanation:

6 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).​
vova2212 [387]

Answer:

y = mx + 1/2

Step-by-step explanation:

(x,y)

- Plot each point on a graph

- The line should go from the bottom left (-6,-10) to the top right (1,4)

- Count how many spaces are on the y-axis from -6 to 1 for numerator

- Count how many spaces are on the x-axis from -10 to 4 for denominator

- Positive slope

- Slope = 7/14

- Simplify to 1/2

7 0
3 years ago
What is the value of X​
AleksAgata [21]

Answer:

I think A, 24

Step-by-step explanation:

because 2 x 24 = 48

6 0
3 years ago
Other questions:
  • The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
    8·1 answer
  • Suppose you scored 78,78,and 79 on the first three tests. Is it possible
    6·2 answers
  • 9+8=17 what number sentence shows the commutative property of addition
    11·2 answers
  • In a random sample of high school seniors, the proportion who use text messaging was 0.88. In a random sample of high school fre
    7·1 answer
  • What is the value of the expression 10p - 5 + 3(p-1) when p =2?
    11·1 answer
  • 4
    10·1 answer
  • Based only on the information given in the diagram, which congruence
    6·1 answer
  • The line plot below gives the number of cups of flour used in different recipes.
    9·2 answers
  • If 6 cakes cost £1.80, how much do 4 cost
    5·1 answer
  • Can someone help please?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!