Question

PLEASE HELP! Solve the equation for y. Then find the value of y for each value of x.

y + 5x = 8; x = – 1, 0, 4

Answers

  1. The given equation y + 5x = 8, on solving for y by isolating comes to y = 8 – 5x.
    The values of y for given values of x are,
    x = -1 gives y = 13,
    x = 0 gives y = 8, and
    x = 4, gives y = -12.
    In the question, we are asked to solve the given equation, y + 5x = 8, for y.
    To solve for y, we isolate y, by subtracting 5x from both sides of the equation as follows:
    y + 5x = 8,
    or, y + 5x – 5x = 8 – 5x,
    or, y = 8 – 5x.
    Now, we are asked to find the value of y for each given value of x.
    To find the value of y, we substitute each value of x and simplify the equation.
    1. x = -1:
    y = 8 – 5x,
    or, y = 8 – 5(-1),
    or, y = 8 + 5,
    or, y = 13.
    2. x = 0:
    y = 8 – 5x,
    or, y = 8 – 5(0),
    or, y = 8 – 0,
    or, y = 8.
    3. x = 4:
    y = 8 – 5x,
    or, y = 8 – 5(4),
    or, y = 8 – 20,
    or, y = -12.
    Thus, the given equation y + 5x = 8, on solving for y by isolating comes to y = 8 – 5x.
    The values of y for given values of x are,
    x = -1 gives y = 13,
    x = 0 gives y = 8, and
    x = 4, gives y = -12.
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