Q:

A system of equations can be solved by elimination in the table below. Does the system of equations on line 4 have the same solution set as the system of equations on line 1? why or why not?

Accepted Solution

A:
Answer:Full question attached below.Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1Step-by-step explanation:There is no difference between the systems of line 1 and 41st system5x + 3y = 144x - 2y = -24th system10x + 6y = 2812x - 6y = -6In the fourth system, we factor number 2 from the first line, and number 3 from the second line4th system2[5x + 3y] = 2[14]3[4x - 2y] = 3[-2]If we simplify,4th system[5x + 3y] = [14][4x - 2y] = [-2]We get the same system as the 1stTherefore, the solution is the same.