Final answer:
To solve the linear system 5x + 3y = 17 and -8x - 3y = 9, we can use the method of elimination by adding or subtracting the two equations and then solving for x and y.
Step-by-step explanation:
To solve the linear system 5x + 3y = 17 and -8x - 3y = 9, we can use the method of elimination. The goal is to eliminate one variable by adding or subtracting the two equations. In this case, we can multiply the second equation by -1 to make the y terms cancel out. Adding the two equations together, we get -3x = 26. Solving for x, we find that x = -26/3. Substituting this value into either of the original equations, we can find the corresponding value of y.
Thus, the solution to the linear system is x = -26/3 and y = 19/3.