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24 October, 07:16

How many solutions does the following system of equations have?

y=5/2x+2

2y=5x+4

One

Two

Zero

Infinitely many

+3
Answers (1)
  1. 24 October, 07:24
    0
    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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