If the lines \(2x+y=16\) and \(x+y=10\) are drawn on a graph, what will be their point of intersection?

Correct answer: \((6,4)\)

The point of intersection must satisfy both linear equations simultaneously. Substituting \((6,4)\) gives \(2(6)+4=16\) and \(6+4=10\), so it is the graphical solution. For example, \((5,5)\) satisfies the second equation but not the first. Exam tip: verify a proposed intersection point by substituting its coordinates into both equations.