The system of equations are
and its solution is
.
Substitute the values of
in the above linear system.
Equation 1:
.
Equation 2:
.
Neither variable has a common coefficient.The coefficient of the a - variables are 4 and 2 and their least common multiple is 4, so multiply each equation by the value that will make the a - coefficient 4.
\To get two equations that contain opposite terms multiply the second equation by 2.
\Write the equations in column form and add the corresponding columns to eliminate a - variable.
\
.
The resultant equation is
and solve for b.
Divide each side by 6.
\
Cancel common terms.
\
.
Substitute the value of
in either of the original equations and solve for a.
The second equation:
.


Subtract 16 from each side.
\
.
Divide each side by negative 2.
\
Cancel common terms.
\
.
The solution
.