8x+5y=9 3x+2y=4 Create an equivalent system of equations

Question

A system of equations is shown below.

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

Part A: Create an equivalent system of equations by replacing on 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

me assume that trash be 2 equashuns

line 1...8x+5y=9

line 2...3x+2y=4...or y=(4-3x)/2...y=2-1.5x

line 1: 8x +5*(2-1.5x)=9

8x -7.5x +10=9

0.5x=9-10=-1

x=-2

y=2-1.5x=2+3=5