LybertiL293210 LybertiL293210
  • 03-11-2022
  • Mathematics
contestada

Look at the system of equations below y = -3x + 2 y = 2x - 3 Which of the graphs above represents this system of equations?

Look at the system of equations below y 3x 2 y 2x 3 Which of the graphs above represents this system of equations class=

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PinchusS352580 PinchusS352580
  • 03-11-2022

We have the following:

We must calculate the solution since that is the point of intersection.

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

we equalize the equations and we have:

[tex]\begin{gathered} -3x+2=2x-3 \\ 3x+2x=3+2 \\ 5x=5 \\ x=\frac{5}{5} \\ x=1 \end{gathered}[/tex]

for y:

[tex]y=2\cdot1-3=-1[/tex]

The point is (1, -1)

Therefore, the answer is the graph A.

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