A system of equations is shown below:
-3x + 7y = -16
-9x + 5y = 16
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)

Question

A system of equations is shown below:
-3x + 7y = -16
-9x + 5y = 16
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)

anonymous · Answer

@dan815 @Nnesha  @deepika.comet  Please help!

anonymous · Answer

To be 100% correct, part A must say and non zero multiple

anonymous · Answer

@TuringTest  Please help!

anonymous · Answer

@tanyajoseph99  proceed with equation one,
multiply any non zero number with it. then re write the equation

anonymous · Answer

How?

anonymous · Answer

-1(-3x + 7y )= (-16)*-1 =>3x-7y=16 --(1)
-9x + 5y = 16---(2)

(1) & (2) are our new system

anonymous · Answer

like this you can proceed just follow the instruction.! what is your difficulty on that ?

anonymous · Answer

-3x+7y=-16----> (1)
-9x+5y=16 -----> (2)
add 1 and 2 ==>  -12x+12y=0 ==> -x+y=0 ==>x=y