The system of equations are .
Neither variable has a common coefficient.The coefficient of the y - variables are 8 and 12 and their least common multiple is 24, so multiply each equation by the value that will make the y - coefficient 24.
\To get two equations that contain opposite terms multiply the first equation by negative 3 and multiply the second equation by 2.
\Write the equations in column form and add the corresponding columns to eliminate y - variable.
\The resultant equation is and solve for x.
Divide each side by 5.
\Cancel common terms.
\.
Substitute the value of in either of the original equations and solve for y.
The first equation: .
Subtract 30 from each side.
\Divide each side by 8.
\Cancel common terms.
\.
The solution is .