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18 votes
18 votes
How many solutions does the system have​

How many solutions does the system have​-example-1
User Fernando Barrocal
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2 Answers

21 votes
21 votes

Answer: Infinitely many solutions

Step-by-step explanation:

If we multiply both sides of the second equation by 5, then we go from y = 3x-8 to 5y = 15x-40. This is exactly identical to the first equation of the system.

Therefore, the two equations are equivalent just in slightly different forms. The two equations graph the same line which leads to infinitely many solutions.

The solutions are of the form (x, 3x-8) where x is any real number.

Since there are infinitely many solutions, we consider this system to be dependent.

User Vonjd
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2.9k points
16 votes
16 votes

Answer:

There are infinate solutions.

Step-by-step explanation:

Plug (3x-8) in for y

5(3x-8)=15x-40

Simplify

15x-40=15x-40

User Michael Paulukonis
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3.1k points