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19 August, 17:46

Solve for x and y

15x=5y-5

y=3x+1

a) there are an infinite number of solutions

b) x=0, y=1

c) there is no solution

d) the solution is (15, 15)

+5
Answers (2)
  1. 19 August, 17:57
    0
    The answer would be option B
  2. 19 August, 20:29
    0
    The correct answer option is a) there are an infinite number of solutions

    Step-by-step explanation:

    We are given these two following equations:

    15x = 5y - 5 - - - (1)

    y = 3x + 1 - - - (2)

    Solving these two by the substitution method by putting the value of y in equation (1).

    15x = 5y - 5

    15x = 5 (3x + 1) - 1

    15x = 15x + 5 - 5

    5 and - 5 get cancelled and we are left with 15 on both sides of the equation which will cancel each other.

    Therefore, these equations have an infinite number of solutions.
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