5. How many solutions does this system of equations have?
y=-4x- 9
y = -4x-1

A. Infinite solutions
B. One solution
C. Two solutions
D. No solution

pls help its 20 points :)

Respuesta :

Answer:

[tex]\text{\boxed{\sf{D. \ No\ solution}}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=-4x-9 and y=-4x-1

First, you have to substitute of y=-4x-1.

[tex]\Longrightarrow: \sf{[-4x-1=-4x-9]}[/tex]

Add by 4x from both sides.

[tex]\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}[/tex]

Solve.

[tex]\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}[/tex]

  • Therefore, the correct answer is "D. No solution".

I hope this helps. Let me know if you have any questions.