Question

5. How many solutions does this system of equations have?

Answer 1

Answer:

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

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.

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

Add by 4x from both sides.

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

Solve.

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

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

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