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 2 and 1 and their least common multiple is 2, so multiply each equation by the value that will make the a - coefficient 2.
\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 3.
\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.
\.
Multiply each side by negative 1.
\.
The solution .