Final answer:
To solve the linear system of equations, multiply the first equation by 9 and the second equation by 5 to eliminate the x variable. Then, solve for x and substitute its value into one of the original equations to solve for y. The solution is x = 4 and y = -4.
Step-by-step explanation:
To solve the given linear system of equations:
5x - 7y = 40
9x + 11y = 72
- Multiply the first equation by 9 and the second equation by 5 to eliminate the x variable.
- Now, subtract these two equations to eliminate the y variable.
- Solve the resulting equation for x.
- Substitute the value of x into one of the original equations to solve for y.
- The solution to the system of equations is x = 4 and y = -4.