Question

Solve the system. State whether the system is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.5x-6y=1-10x+12y=-2

Answer 1

Solve;

$\begin{gathered} 5x-6y=1---(1) \\ -10x+12y=-2---(2) \\ \text{Multiply equation (1) by -10, and multiply equation (2) by 5} \\ -50x+60y=-10---(3) \\ -50x+60y=-10---(4) \\ \text{From equation (3) and (4) subtracting equation (3) from (4) or Subtracting (4) from (3)} \\ \text{would result in 0=0} \\ \text{This means there is an infinite number of solutions} \end{gathered}$