Choose the correct statement about the graph of (8x+12y=20) and (2x+3y=6).

Correct answer: Lines are distinct parallel

For the two equations, \(a_1/a_2=8/2=4\) and \(b_1/b_2=12/3=4\), whereas \(c_1/c_2=20/6=10/3\). Thus, \(a_1/a_2=b_1/b_2\ne c_1/c_2\), so the lines are distinct and parallel; they neither intersect nor coincide. Exam tip: compare the three coefficient ratios—if the first two are equal but the third is different, the lines are distinct parallel lines.