JayceeM636439 JayceeM636439
  • 03-11-2022
  • Mathematics
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how to solve y=2x+3 y=2x+1

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JaseyU668032 JaseyU668032
  • 03-11-2022

We have the system of equations

[tex]\begin{gathered} y=2x+3 \\ y=2x+1 \end{gathered}[/tex]

Using substitution, we have that

[tex]2x+3=2x+1[/tex]

Solving for x, we have that

[tex]\begin{gathered} 2x-2x=1-3 \\ 0=-2 \end{gathered}[/tex]

but this is a contradiction, therefore the system of equations don't have a solution.

We also can notice this if we graph the equations.

From the graph we see that the equations do not intersect, then the system don't have a solution.

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