Final answer:
To solve this system of linear equations, you can use the method of elimination. Add the two equations together to eliminate x, solve for y, and then substitute the value of y back into one of the original equations to solve for x.
Step-by-step explanation:
To solve this system of linear equations, you can use the method of elimination. Start by adding the two equations together to eliminate the variable x. This will result in the equation 2y = 14. Divide both sides by 2 to solve for y, which gives you y = 7. Next, substitute this value of y back into either of the original equations to solve for x. Using the first equation x - 3(7) = -2, simplify to x - 21 = -2. Add 21 to both sides to solve for x, which gives you x = 19.
Therefore, the solution to this system of linear equations is x = 19 and y = 7.