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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

User Houbie
by
8.8k points

2 Answers

9 votes

Answer:

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

User Alex Stone
by
8.0k points
1 vote

Answer:

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.

User Henkimon
by
7.3k points

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