ellawoford
ellawoford ellawoford
  • 11-06-2021
  • Mathematics
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What is the solution to the system of equations graphed below?

What is the solution to the system of equations graphed below class=

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Corsaquix
Corsaquix Corsaquix
  • 11-06-2021

Answer:

[tex]\text{B. }(2, -3)[/tex]

Step-by-step explanation:

[tex]\begin{cases}y=2x-7,\\y=-x-1\end[/tex]

Since [tex]y=y[/tex]:

[tex]2x-7=-x-1,\\3x=6,\\x=2[/tex]

Solving for [tex]y[/tex]:

[tex]y=2(2)-7=4-7=-3[/tex]

Verify that the point of intersection occurs at [tex]\boxed{(2, -3)}\checkmark[/tex]

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