Question

A system of equations is shown below:

8x + 5y = 9
3x + 2y = 4

Part A: 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. (6 points)

Part B: Show that the equivalent system has the same solution as the original system of equations. (4 points)

Answer 1

8x + 5y = 9
3x + 2y = 4
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(8+3)x+(5+2)y=9+4
11x+7y=13

Answer 2

???

Answer 3

just explain to me what u did xD

Answer 4

i added the first and 2nd equation together

Answer 5

o ok

Answer 6

because umm okay.. an* equation has 2 sides
left 1= right 1

left 2 = right 2
if i add left 2 to left 1....
and if i add right 2 to right 1... that still the same as adding left 2 to both sides
since left 2 = right 2

Answer 7

now you have to make another equation by taking a multiple of one of those equation , for example
2*equation2=
2*(3x+2y)=2*4
6x+4y=8

Answer 8

ooooooo ok

Answer 9

thanx a bunch :)

Answer 10

can you re-explain tht part again?

Answer 11

i dont really get it...

Answer 12

@dan815

Answer 13

the addition of equations or the multiple of an equation

Answer 14

o.o

Answer 15

english?

Answer 16

oh hey I just reread your equation and I think they just want you to replace one of the equations

Answer 17

okay so lets take the sum of one equations and a multiple of the other one

Answer 18

okay sooo loook pay attention!!

Answer 19

ok

Answer 20

equation 1
equation 2
Lets say our new equation 3=equation1+2*equation2

Answer 21

what does * mean?

Answer 22

8x + 5y = 9 (1) equation
3x + 2y = 4 (2) equation
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(3rd equation)=(1st equation)+2*(2nd equation)

Answer 23

* means multiplication

Answer 24

just put times or (space)x(space)

Answer 25

New equation = 8x + 5y = 9
+2(3x+2y)=4
------------
14x+9y=17 <--------- new equation
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