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 :)

Question

asked Dec 6, 2023 59.3k views

1 Answer

Timsmelik · Answer 1 · 2023-12-11T10:56:17+0000

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Explanation:

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

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

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

Add by 4x from both sides.

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

Solve.

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

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