Question

is Y=-3x+4 and Y=-3x-2 one solution, no solution, or infinite solutions and why?

Answer 1

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.

$\text{ y = -3x - 2}$$\text{ -3x + 4 = -3x - 2}$$\text{ -3x + 3x }=\text{ -2 - 4}$$\text{ 0 = -6 : 0 }\ne\text{ -6}$

Therefore, the two systems of equations have no solution.