Question

Match this system of linear equations to the correct description of its solution set.

y= -8x - 20
y= -8x - 20

A) one solution
B) no solutions
C) an infinite amount of solutions

Answer 1

C) an infinite amount of solutions

Explanation:

[1] y + 8x = -20

[2] y + 8x = -20

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -8x - 20

// Plug this in for variable y in equation [1]

[1] (-8x-20) + 8x = -20

[1] 0 = 0 => Infinitely many solutions

Answer 2

An infinite set of solutions (C)

Explanation:

Since the slopes and Y intercepts are the same, the lines are on top of each other, which means there's an infinite amount of solutions.