-8x-3y=1 80x30y=-10 algebraic method

Question

(a) The solution ?

(b) indefinite

(c) no solution

Answer 1

-8x-3y=1

80x + 30y=-10  ⇐I have corrected this equation, which omitted the plus between terms.

 

Imagine that you were to multiply the first of these equations by -10; you would get the second equation!

This demonstrates that the system is DEPENDENT (each equation represents the same line, when graphed).

 

Therefore there are INFINITELY many points, all on the line. 

 

The option "indefinite" is not appropriate; you probably meant infinite?