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Complete the tables for the following equations: a) x = 3y − 1; c) y = -4x - 2; e) t = -8s + 2. Find the value of n in part e.

Mathematics

ScanSolve AI Answer

Answer

e
-30

Step-by-step solution

11 steps

Here are the completed tables for each part:

Part a· 3 steps

Equation: x=3y−1x = 3y - 1

  1. Substitute y=2y=2 into the equation.

    x=3(2)−1=6−1=5x = 3(2) - 1 = 6 - 1 = 5

  2. Substitute y=4y=4 into the equation.

    x=3(4)−1=12−1=11x = 3(4) - 1 = 12 - 1 = 11

  3. Substitute y=6y=6 into the equation.

    x=3(6)−1=18−1=17x = 3(6) - 1 = 18 - 1 = 17

    Completed table for a:

    y246
    x51117

Part c· 4 steps

Equation: y=−4x−2y = -4x - 2

  1. Substitute x=3x=3 into the equation.

    y=−4(3)−2=−12−2=−14y = -4(3) - 2 = -12 - 2 = -14

  2. Substitute x=4x=4 into the equation.

    y=−4(4)−2=−16−2=−18y = -4(4) - 2 = -16 - 2 = -18

  3. Substitute x=5x=5 into the equation.

    y=−4(5)−2=−20−2=−22y = -4(5) - 2 = -20 - 2 = -22

  4. Substitute x=6x=6 into the equation.

    y=−4(6)−2=−24−2=−26y = -4(6) - 2 = -24 - 2 = -26

    Completed table for c:

    x3456
    y-14-18-22-26

Part e-30

Equation: t=−8s+2t = -8s + 2

  1. Substitute s=1s=1 into the equation.

    t=−8(1)+2=−8+2=−6t = -8(1) + 2 = -8 + 2 = -6

  2. Substitute s=2s=2 into the equation.

    t=−8(2)+2=−16+2=−14t = -8(2) + 2 = -16 + 2 = -14

  3. Substitute s=3s=3 into the equation.

    t=−8(3)+2=−24+2=−22t = -8(3) + 2 = -24 + 2 = -22

  4. Substitute s=4s=4 into the equation to find the value of nn.

    t=−8(4)+2=−32+2=−30t = -8(4) + 2 = -32 + 2 = -30

    Therefore, n=−30n = -30.

    Completed table for e:

    s1234
    t-6-14-22-30

    The value of nn is −30\boxed{-30}.

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