I'm stuck on a question. I just need help for one and I think I could do the rest if I understand it.(the got it part, not the example part)

Im stuck on a question I just need help for one and I think I could do the rest if I understand itthe got it part not the example part class=

Respuesta :

Answer:

Completing the table, we have;

Explanation:

Given the equation;

[tex]y=2x-1[/tex]

where y is the output and x is the input.

we were given the outputs 1,3,5.

To get the input for each of the given output let us substitute the output into the equation and solve for x;

[tex]\begin{gathered} \text{for output = 1;} \\ 1=2x-1 \\ 1+1=2x \\ 2=2x \\ x=\frac{2}{2} \\ x=1 \end{gathered}[/tex][tex]\begin{gathered} \text{for output = 3 ;} \\ 3=2x-1 \\ 3+1=2x \\ 4=2x \\ \frac{4}{2}=x \\ x=2 \end{gathered}[/tex][tex]\begin{gathered} \text{for output = 5;} \\ 5=2x-1 \\ 5+1=2x \\ 6=2x \\ \frac{6}{2}=x \\ x=3 \end{gathered}[/tex]

Therefore, completing the table, we have;

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