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
LiRa [457]
3 years ago
10

What is the solution to the system of equation? -3x-4y-32= -7 2x-6y+2=3 5x-2y+5z=9

Mathematics
2 answers:
sertanlavr [38]3 years ago
5 0
<span>Simplifying 8x + 336 = 336 + -3x Reorder the terms: 336 + 8x = 336 + -3x Add '-336' to each side of the equation. 336 + -336 + 8x = 336 + -336 + -3x Combine like terms: 336 + -336 = 0 0 + 8x = 336 + -336 + -3x 8x = 336 + -336 + -3x Combine like terms: 336 + -336 = 0 8x = 0 + -3x 8x = -3x Solving 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 11x = -3x + 3x Combine like terms: -3x + 3x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0</span>
kozerog [31]3 years ago
4 0

Answer:

x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1

Step-by-step explanation:

we are given three equation of variable x, y and z.

-3x-4y-3z= -7  ------------- (1)

2x-6y+z=3     ------------- (2)

5x-2y+5z=9    ------------- (3)

  • Using elimination method to eliminate z from equation (1) and (2)

Make the coefficient of z same in both equation.

Multiply equation (2) by 3

-3x - 4y - 3z = -7  

6x - 18y + 3z = 9

Add above equation to eliminate z

3x - 22y = 2 ---------------(4)

  • Using elimination method to eliminate z from equation (2) and (3)

Make the coefficient of z same in both equation.

Multiply equation (2) by -5

-10x + 30y - 5z = -15  

5x - 2y + 5z = 9

Add above equation to eliminate z

-5x + 28y = -6 ---------------(5)

  • Using elimination method to eliminate x from equation (4) and (5)

Make the coefficient of x same in both equation.

Multiply equation (4) by 5 and equation (5) by 3

15x - 110y = 10

-15x + 84y = -18

Add above equation to eliminate x

        -26y = -8

        y=\dfrac{4}{13}

Substitute y into equation (5) to get x

So, -5x+28(\frac{4}{13})=-6

x=\dfrac{38}{13}

Substitute x and y into equation (1)

-3\cdot \frac{38}{13}-4\cdot \frac{4}{13}-3z=-7

z=-1

Solution:

x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1

You might be interested in
2. Are these ratios equal? 6:10 and 5:20
Step2247 [10]

Answer:

No

Step-by-step explanation:

Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.

3 0
3 years ago
Read 2 more answers
Can someone please help me. I will give you brainliest, I’m struggling bad...
WINSTONCH [101]
A, it crosses the y-intercept at (0,3) :)
3 0
2 years ago
Consider functions f and g defined by the graph and the table.<br><br> Please help me ASAP
Fed [463]

Answer:

Step-by-step explanation:

Given are two functions represented one by graph and another by table

We can check the given statement one by one

1) f(2)=18 : f(0) =15

Average rate of change = \frac{18-15}{2-0} =1.5

For g(x) avg rate of change

=\frac{g(2)-g(0)}{2-0} \\=4

Hence g has a higher average rate of change than f.

True

2)f is linear and eventually exceeds g (f(0)>g(0) . True

3) True because y intercept is 10 for f while 8 for g

4) True because f(3) <g(3)

5) False both cannot be linear

3 0
2 years ago
What is an equation of the line that passes through the point (5,4)(5,4) and is parallel to the line 6x-5y=156x−5y=15?
Westkost [7]

Answer:

7x+y=0

x+6y=5

x+y=0

Step-by-step explanation:

5 0
3 years ago
Can someone give me a simple explanation on how to simplify radicals.
s2008m [1.1K]

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

6 0
2 years ago
Other questions:
  • True or false 502 is divisible by 2
    7·2 answers
  • Can you solve for x for this shape?
    9·2 answers
  • A technician charges $25 per hour plus $50 for a
    5·1 answer
  • Hugo the mountain goat has scaled 350 feet of mountains and hills on his travels. He has climed 95 feet of hill and 3 mountain p
    5·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    15·1 answer
  • What is the correct rule for y, in terms of x?
    7·2 answers
  • What is -2 + 7x = 12
    13·1 answer
  • Please help me.. fast​
    14·2 answers
  • Which graph and equation shows a proportional relationship between and y? NEED HELP ASAP!!!
    9·2 answers
  • Which of the following functions best describes this graph?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!