Question

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 :)

Answer 1

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

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.