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How many solutions does the system have?

5y = 15x - 40
y = 3x -8
A. Infinitely many solutions
B. No solutions
C. Exactly one solution

1 Answer

7 votes

Answer:

A; infinitely many solutions

Explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

User Ben Harris
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