2х+у=11 3х-у=9

To solve this system of equations, we can use the method of substitution or elimination. Let's solve it using the method of substitution.

Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have 2x + у = 11. Solving for у, we get у = 11 - 2x.

Step 2: Substitute the value of у in the second equation with 11 - 2x. Replacing у in the second equation, we have: 3x - (11 - 2x) = 9.

Step 3: Simplify and solve for x. Expanding the equation, we have: 3x - 11 + 2x = 9. Combining like terms, we get: 5x - 11 = 9. Adding 11 to both sides of the equation, we have: 5x = 20. Dividing both sides by 5, we get: x = 4.

Step 4: Substitute the value of x into either of the original equations. Let's use the first equation: 2x + у = 11. Replacing x with 4, we have: 2(4) + у = 11. Simplifying, we get: 8 + у = 11. Subtracting 8 from both sides of the equation, we have: у = 3.

Therefore, the solution to the system of equations is x = 4 and у = 3.