Solving a System of Two Linear Equations

In South Africa, Grade 12 students learn about solving systems of linear equations in their math curriculum. This fundamental algebraic skill involves finding the values of variables that satisfy both equations simultaneously. One popular method for solving such systems is by using the substitution method, where one equation is solved for one variable and that solution is substituted into the other equation. Another method is the elimination method, where the two equations are added or subtracted to eliminate one of the variables. Both methods require attention to detail and a good understanding of algebraic manipulation.