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How many solutions does the following system of equations have?

How many solutions does the following system of equations have?-example-1

2 Answers

6 votes
x=0 and y =2 if you use substitution
User Weiran
by
8.1k points
7 votes

Answer with Step-by-step explanation:

2y=5x+4

and y=3x+2

Putting equation second in equation first

⇒ 2(3x+2)=5x+4

⇒ 6x+4=5x+4

⇒ 6x-5x=4-4

⇒ x=0

Putting x=0 in second equation

⇒ y=2

Hence, the above system of equations has only one solution.

Hence, the correct option is:

C. one

User HypeZ
by
7.9k points