cashmerefarid cashmerefarid
  • 02-05-2019
  • Mathematics
contestada

y = 2x + 3 2y = 4x + 6 The system of equations has _____ solution(s).
A. no
B. one
C. infinite

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-05-2019

Answer:

C. infinite

Step-by-step explanation:

We want to solve the system:

First equation: [tex]y=2x+3[/tex]

Second equation: [tex]2y=4x+6[/tex]

Multiply the first equation by 2.

This gives us:

Third equation: [tex]2y=4x+6[/tex]

Subtract the third equation to obtain;

[tex]2y-2y=4x-4x+6-6[/tex]

[tex]0=0[/tex]

This implies that, the solution is all real numbers.

This means that the two lines coincide with each other. Therefore there are infinitely many solutions.

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