Question

HELP!!!!!!!!!!!!!!!!!!!
A system of equations is shown below:
8x+5y=9
3x+y=4
Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. show the steps to do this.

Answer 1

@ganeshie8

Answer 2

@nincompoop

Answer 3

@ranga

Answer 4

@satellite73

Answer 5

@campbell_st

Answer 6

ok... so multiply the 2nd equation by - 5 and add it to the 1st equation...

8x + 5y = 9
-15x - 5y = -20
----------------
-7x = -11

Answer 7

im sorry what did you do?

Answer 8

the 2nd equation is

3x + y = 4 multiply every term by -5

-15x -5y = -20

then add this new equation to the 1st equation

-15x - 5y + 8x + 5y = -20 + 9

-8x = -11

Answer 9

but don't I have to create a system of equations ?

Answer 10

@campbell_st

Answer 11

@Hero

Answer 12

-8x=11 will be my answer?

Answer 13

part b: show that the equivalent system has the same solution as the original system of equations

Answer 14

@Hero

Answer 15

part b: show that the equivalent system has the same solution as the original system of equations

Answer 16

part b: show that the equivalent system has the same solution as the original system of equations

Answer 17

@campbell_st

Answer 18

PLEASE HELP IT IS MY LAST QUESTION AND IM REALLY EXHAUSTED

Answer 19

8x+5y=9
3x+y=4

Multiply the second equation by -4, then add the first equation to it:

-4(3x + y) = -4(4)
-12x - 4y = -16

-12x + 8x + 5y - 4y = 9 - 16
-4x + y = -7

So the equivalent system is
8x + 5y = 9
-4x + y = -7

Answer 20

Solve one of the systems to get (x, y) value, then test the value in the other system.

Answer 21

THANK YOU!!

Answer 22

im stuck on that part finding the x and y values

Answer 23

@Hero

Answer 24

@nikato

Answer 25

can you please help?

Answer 26

8x+5y=9
3x+y=4

Multiply the second equation by -4, then add the first equation to it:

-4(3x + y) = -4(4)
-12x - 4y = -16

-12x + 8x + 5y - 4y = 9 - 16
-4x + y = -7

So the equivalent system is
8x + 5y = 9
-4x + y = -7

Answer 27

then I have to solve show that the equivalent system has the same solution as the original system of equations

Answer 28

lets start with your original
8x+5y=9
3x+y=4

1/multiply the second by -5
2. add the first equation and the new second equation up. *the y's should be able to cancel each other
3. you should be able to solve for x now

Answer 29

x=11/7

Answer 30

y=-5/7

Answer 31

yes so (11/7 , -5/7) is the solution for this

Answer 32

now do the same with the equivalent equation
8x+5y=9
-4x+y=-7

1. multiply second equation by 2
2. add the two equation up.
3. you should be able to solve for y

Answer 33

thnk you !!!