Solving System 1
4x − 5y = 2 → eq.1
3x − y = 8 → eq.2
Rearranging both equations:
y = 4/5 x - 2/5 → eq.1
y = 3 x - 8 → eq.2
Graphing both the equations.
Solution set : (x,y)→(3.455,2.634)
Solving System 2
4x − 5y = 2 →eq.1
10x − 7y = 18 →eq.2
Rearranging both equations:
y = 4/5 x - 2/5 → eq.1
y = 10/7 x - 18/10 → eq.2
Graphing both the equations.
Solution set : (x,y)→(3.455,2.634)
Solving System 3
4x − 5y = 2 → eq.1
3x − 8y = 4 →eq.2
Rearranging both equations:
y = 4/5 x - 2/5 → eq.1
y = 3/8 x - 4/8 → eq.2
Graphing both the equations.
Solution set : (x,y)→(-0.235,-0.588)
Solving System 4
4x − 5y = 2 → eq.1
10x + 3y = 15 → eq.2
Rearranging both equations:
y = 4/5 x - 2/5 → eq.1
y = -10/3 x + 5 → eq.2
Graphing both the equations.
Solution set : (x,y)→(1.306,0.645)
Therefore, the best answer choice is:
A. System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1
