3x + 2(2x - 5) = 11
3x + 4x - 10 = 11
7x=11+10=21
x = 21/7 = 3

Substitute.r-3 in equation (1)

Substituting the values of x and y in equation (2), we get : 3(3) + 2(1) = 9 + 2 = 11

Both the equations are satisfied x = 3 and y = 1
Therefore, the required solution is x = 3 and y = 1 .

In this method, first we eliminate (remove) one of the two variables by equating its coefficie This gives a single equation which can be solved to get the value of the other variable. To undertand this method, let us consider it stepwise.

Step-1: Write both the equations in the form of ax + by = c

Step-2: Make the coefficients of one of the variables, say's, equal by multiplying each equal by suitable real numbers.

Step-3: If the variable to be eliminated has the same sign in both equations, subtract one equati from the other to get an equation in one variable. If they have opposite signs then add.

Step-4: Solve the equation for the remaining variable.

Substitute the value this variable in any one of the original equations and fin value of the eliminated variable.

3x + 2y = 11
2x + 3y = 4