How do you determine whether a linear system has one solution, many solutions, or no solution when given 3x-9y=3 and 5x-8y=12?

Question

1351 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-31T12:22:14

Only one solution with #color(orange)(x = 4, y = 2#

#3x - 9y = 3#

#x - 3y = 1# or #x = 3y + 1#

#5x - 8y = 12#

Substituting value of x in the above equation,

#15y + 5 - 8y = 12#

#7y = 7# or y = 1#

#:. x = 1 + 3y = 1 + 3 = 4#