Question

Solve the following linear system of equations: 5x-7y=40 9x+11y=72

Answer 1

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

1. Multiply the first equation by 9 and the second equation by 5 to eliminate the x variable.
2. Now, subtract these two equations to eliminate the y variable.
3. Solve the resulting equation for x.
4. Substitute the value of x into one of the original equations to solve for y.
5. The solution to the system of equations is x = 4 and y = -4.