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)

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)

wolf1728 · Answer

Basically, you want another system of equations that will have the same solution as the original.  Why not just multiply both equations by 2?

wolf1728 · Answer

8x + 5y = 9 
3x + 2y = 4

x=-2  y = 5

Multiplying both equations by 2
16x + 10y = 18
6x +4y =8

x = -2  y = 5

anonymous · Answer

im being yelled at

secret-ninja · Answer

^random. O.o @Brie624 please tell me you weren't murdered...

anonymous · Answer

i am very much alive lol @Secret-Ninja