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savisC5haseafavez
savisC5haseafavez savisC5haseafavez
  • 13-06-2016
  • Mathematics
Answered

How many solutions does the following system of equations have?

y=5/2x+2

2y=5x+4


One


Two


Zero


Infinitely many

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 20-06-2016

We will use a method of substitution.
y = 5/2 x + 2 
2 y = 5 x + 4   ⇒  2 ( 5/2 x + 2 )= 5 x + 4
5 x + 4 = 5 x + 4
0 x = 0            ⇒  x, y ∈ R
Answer: D)   
This system has infinitely many solutions.

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