EmineH245291 EmineH245291
  • 25-10-2022
  • Mathematics
contestada

Solve this system of equations by substitution. Enter your answer as an ordered pair (x,y). Do not use spaces in your answer.

Solve this system of equations by substitution Enter your answer as an ordered pair xy Do not use spaces in your answer class=

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SloaneB688845 SloaneB688845
  • 25-10-2022

We have the following:

[tex]\begin{gathered} y=-\frac{1}{2}x+4 \\ y=2x-1 \end{gathered}[/tex]

Solving by substitution

[tex]\begin{gathered} -\frac{1}{2}x+4=2x-1 \\ 2x+\frac{1}{2}x=4+1 \\ \frac{5}{2}x=5 \\ x=\frac{2\cdot5}{5} \\ x=2 \end{gathered}[/tex]

Now for y

[tex]\begin{gathered} y=2\cdot2-1=4-1=3 \\ \end{gathered}[/tex]

Therefore, the answer is:

[tex](2,3)[/tex]

Answer Link

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