Question

How many solutions does y=-2x-4 y=3x+3

Answer 1

Gn: y = -2x - 4

     y = 3x + 3

To find: No. of solutions.

y = -2x -4

y + 2x = -4  ...... (1)

a1 = 1

b1 = 2

c1 = -4

y = 3x + 3

y - 3x = 3  ...... (2)

a2 = 1

b2 = -3

c2 = 3

a1/a2 = 1/1

b1/b2 = 2/-3

a1/a1 not equal to b1/b2

therefore, there is only one solution to the pair of equations.

Answer 2

This is linear equations in two variables hence the value of x is determined by the value of y and vice versa.therefore the are infinitely many solutions to this equation