alleryStart learning →Two linear equations are drawn on the same set of axes. Where is the solution of the system found?
AAt the point of intersection
BAt the y-intercept of each
CAt the x-intercept of each
DAt the steepest point drawn
Answer & Solution
Correct answer: A. At the point of intersection
1. Simultaneous equations are satisfied by the same pair of values at the same time.
2. Drawing each linear equation gives a straight line.
3. The solution is the coordinates of the point at which the two graphs intersect.
4. If the lines are parallel they never meet, and then the system has no solution.
_Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 4: Equations and inequalities_
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