Ex 1. ) 3x-3y=9 2x-2y=6

To solve the system of linear equations: we can use either the substitution method or the elimination method. Here, we will use the elimination method.First, let's simplify both equations by dividing each term by the common factor in each equation:1. Divide each term by 3: 2. Divide each term by 2: We observe that both simplified equations are identical: This means that the two original equations are actually the same line, and thus there are infinitely many solutions along this line. Any point \((x, y)\) that satisfies is a solution to the system.To express the solution set, we can write: So, the general solution is: where can be any real number.