Question

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

y = 2x + 6
y = 4x + 6
–y = –2x – 3
–y = –4x + 6

Answer 1

c

Explanation:

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Answer 2

A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.

2y - 4x = 6

2y = 4x + 6

2y = 2(2x + 3)

y = 2x + 3

-y = -(2x + 3)

-y = -2x - 3

Hence the other equation is -y = -2x - 3

Explanation: