Question

two systems of equations are given below.
for each system, choose the best description of its solution.
if applicable, give the solution.

system a
$4x-y=-8$
$-4x+y-8=0$

○ the system has no solution.
○ the system has a unique solution:
$(x,y)=(\square,\square)$
● the system has infinitely many solutions.
they must satisfy the following equation:
$y=\square$

Explanation:

Step1: Rearrange second equation

$-4x + y = 8$

Step2: Multiply first equation by -1

$-(4x - y) = -(-8) \implies -4x + y = 8$

Step3: Express y from first equation

$y = 4x + 8$

Answer:

The system has infinitely many solutions.
They must satisfy the following equation:
$y=4x+8$