Question

Y=-2x+3
8x+4y=12

1.(1,1)
2.(0,0)
3.infinity
4.no solution

Answer 1

8x+4y=12 => 4y = 12-8x => y= 3-2x

$\begin{cases} y=-2x+3\\ y=3-2x \end{cases}$

y₁=y₂

-2x₁+3 = 3-2x₂

-2x₁ = -2x₂

x₁ = x₂

valid for any x => answer 3. infinity