Solve by substitution
method 2x+y=10 x+2y=11

Given linear equation is

Now, Consider

On substituting the value of x from equation (1), we get

On substituting x = 3, in equation (1), we get

Verification

Consider the equation

Hence, Verified

Basic Concept Used :-

To solve systems using substitution, follow this procedure:

Select one equation and solve it to get one variable in terms of second variables.

In the second equation, substitute the value of variable evaluated in Step 1 to reduce the equation to one variable.

Solve the new equation to get the value of one variable.

Substitute the value evaluated above in to any one of two equations and solve to get the value of other variable.