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

Question

asked Oct 21, 2023 199k views

1 Answer

Hochl · Answer 1 · 2023-10-26T18:34:37+0000

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.

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

Therefore, the two systems of equations have no solution.