Question

Solve the system of equations: x – 4y = –8 and –3x + 12y = 24.

A. (–4, 1)
B. (0, 2)
C. There are an infinite number of solutions.
D. There's no solution.

Answer 1

It should be C
Because when u multiply ( -3)*(x-4y= -8)

It’ll equal to -3x+12y=24 which is the same equation to the other one.
When the equations r the same, it means everything on the line is the solution for this system of equation.

Answer 2

C. There are an infinite number of solutions.

Explanation:

`\left\{\begin{array}{ccc}x-4y=-8\\-3x+12y=24&\text{divide both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}x-4y=-8\\-x+4y=8\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\qquad\bold{TRUE}`