Answer:
the system is inconsistent
also ,Check the attached graph
Explanation:
let D₁ be the line of equation 3x - 9y = 36
D₂ be the line of equation 2x - 6y = -8
In order to graph D₁ we need to find two point shot that lie on it.
→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4
Then the point C(0 , -4) lies on D₁
→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3
Then the point D(3 , -3) lies on D₁
Therefore,
D₁ is the line that connects the points C and D
Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂
Then D₂ = (AB)
After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.
Therefore ,we say that’s the system is inconsistent