Question

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)

Answer 1

The answer would be option B

Answer 2

The correct answer option is a) there are an infinite number of solutions

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.