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2 October, 05:51

How do I solve this equation using the substitution method? They want me to isolate x in the first equation.

x + 3y = - 5

4x - y = - 33

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Answers (1)
  1. 2 October, 08:09
    0
    Step-by-step explanation:

    X+3y = - 5

    4x-y = - 33

    1. X=-3y-5 (move the variable to the other side of the equation)

    2. 4 (-3y-5) - y = - 33 (substitute the value of x)

    3. - 12y-20-y = - 33 (cross multiply)

    4. - 13y-20 = - 33 (reduce)

    5. - 13y = - 33+20 (isolate variable)

    6. - 13y = 13 (addition or subtraction)

    7. Y = 13: (-13) (divide)

    8. Y = - 1

    9. X+3 (-1) = - 5 (substitute value into other equation)

    10. X-3 = - 5 (multiply)

    11. X = - 5+3 (move to the other side)

    12. X = - 2 Y = - 1
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