Questions: Complete the table below to find solutions to the linear equation y=2x-5.

Complete the table below to find solutions to the linear equation y=2x-5.
Transcript text: Complete the table below to find solutions to the linear equation $y=2 x-5$.
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Solution

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To complete the table and find solutions to the linear equation y=2x5 y = 2x - 5 , we need to choose values for x x and then calculate the corresponding y y values using the given equation.

Let's choose a few values for x x and compute y y :

  1. When x=0 x = 0 : y=2(0)5=5 y = 2(0) - 5 = -5 So, the point is (0,5) (0, -5) .

  2. When x=1 x = 1 : y=2(1)5=3 y = 2(1) - 5 = -3 So, the point is (1,3) (1, -3) .

  3. When x=2 x = 2 : y=2(2)5=1 y = 2(2) - 5 = -1 So, the point is (2,1) (2, -1) .

  4. When x=3 x = 3 : y=2(3)5=1 y = 2(3) - 5 = 1 So, the point is (3,1) (3, 1) .

  5. When x=1 x = -1 : y=2(1)5=7 y = 2(-1) - 5 = -7 So, the point is (1,7) (-1, -7) .

Summarizing the points in a table:

xy0513213117 \begin{array}{|c|c|} \hline x & y \\ \hline 0 & -5 \\ 1 & -3 \\ 2 & -1 \\ 3 & 1 \\ -1 & -7 \\ \hline \end{array}

These points represent solutions to the linear equation y=2x5 y = 2x - 5 .

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