The system of equations are
.
Rewrite the equation 2:
in the form of
.
Subtract y from each side.
\

Neither variable has a common coefficient.The coefficient of the y - variables are 5 and 1 and their least common multiple is 5, so multiply each equation by the value that will make the y - coefficient 5.
To get two equations that contain opposite terms multiply the second equation by negative 5.
\Write the equations in column form and add the corresponding columns to eliminate y - variable.
\
The resultant equation is
.
Divide each side by negative 11.
\
Cancel common terms.
\
.
Substitute the value of
in either of the original equations and solve for y.
The second equation:
.


Subtract 11 from each side.
\


.
The solution is
.