Given the system of equations:
y = -3x + 4
y = -3x - 2
Let's determine if the two have a solution or not by substituting one equation to the other.
Substitute y = -3x + 4 to y = -3x - 2.
[tex]\text{ y = -3x - 2}[/tex][tex]\text{ -3x + 4 = -3x - 2}[/tex][tex]\text{ -3x + 3x }=\text{ -2 - 4}[/tex][tex]\text{ 0 = -6 : 0 }\ne\text{ -6}[/tex]Therefore, the two systems of equations have no solution.
