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Generate a table of values from the equations below: a) y - x = -3 b) x + y = 5

Mathematics

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4 steps

Sawa Mercy, tuendelee na majedwali haya.

Tutakamilisha majedwali kwa kutumia kanuni zilizotolewa.

Part a· 2 steps

Kwa kanuni y−x=−3y - x = -3

  1. Panga upya kanuni ili kupata yy peke yake.

    Ongeza xx pande zote mbili za kanuni:

    y−x+x=−3+xy - x + x = -3 + x y=x−3y = x - 3
  2. Tumia kanuni y=x−3y = x - 3 kukokotoa thamani za yy kwa kila xx iliyotolewa.

    • Wakati x=1x = 1: y=1−3=−2y = 1 - 3 = -2
    • Wakati x=2x = 2: y=2−3=−1y = 2 - 3 = -1
    • Wakati x=3x = 3: y=3−3=0y = 3 - 3 = 0
    • Wakati x=4x = 4: y=4−3=1y = 4 - 3 = 1

    Jedwali (a) lililokamilika:

    xy1−22−13041\begin{array}{|c|c|} \hline x & y \\ \hline 1 & -2 \\ \hline 2 & -1 \\ \hline 3 & 0 \\ \hline 4 & 1 \\ \hline \end{array}

Part b· 2 steps

Kwa kanuni x+y=5x + y = 5

  1. Panga upya kanuni ili kupata yy peke yake.

    Toa xx pande zote mbili za kanuni:

    x+y−x=5−xx + y - x = 5 - x y=5−xy = 5 - x
  2. Tumia kanuni y=5−xy = 5 - x kukokotoa thamani za yy kwa kila xx iliyotolewa.

    • Wakati x=1x = 1: y=5−1=4y = 5 - 1 = 4
    • Wakati x=2x = 2: y=5−2=3y = 5 - 2 = 3
    • Wakati x=3x = 3: y=5−3=2y = 5 - 3 = 2
    • Wakati x=4x = 4: y=5−4=1y = 5 - 4 = 1

    Jedwali (b) lililokamilika:

    xy14233241\begin{array}{|c|c|} \hline x & y \\ \hline 1 & 4 \\ \hline 2 & 3 \\ \hline 3 & 2 \\ \hline 4 & 1 \\ \hline \end{array}
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