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.

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

Answer 1

help please

Answer 2

@eliassaab @ganeshie8 @RadEn

Answer 3

8x + 5y = 9
3x + 2y = 4
First solve the two equations, you find x =-2 and y=5
Multiply the first equation by 2 and add it to second, you obtain

8x + 5 y =9
19 x + 12 y = 22

verify that x =-2 and y =5 are still solutions of the new system.