Solve the given system of equations 2x y 6 1 3x 3y 18 2

Solve the given system of equations. {2x - y = 6 (1) 3x + 3y = 18 (2) Select the correct choice below and fill in any answer boxes within your choice. The solution is x = square and y = square. (Type integers or simplified fractions.) There are infinitely many solutions. Using ordered pairs, they can be expressed as ((x, y) | x square, y any real number). (Simplify your answer Type an expression using y as the variable as needed.) There is no solution.

Solution

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Given

2x - y = 6 ...................................(1)

3x + 3y = 18 ..............................(2)

=> x + y = 6 ...................(3)

Adding equation (1) and equation (3)

3x = 12

x = 4

=> y =2

Solution to abve set of equations is x = 4, y=2 (Unique solution)