The system of equations are .

First solve the system of two equation 2 : 7x + y = 19 and equation 3 : 2x + 3y = - 1 with two variables.

Neither variable has a common coefficient in equation 2 and 3. The coefficient  of the y - variables are 1 and 3 and their least common multiple is 3, so multiply each equation by the value  that will make the y - coefficient 3.

To get two equations 2 and 3 that contain opposite terms multiply the second equation by negative 3.

Write the equations in column form and add the corresponding columns to eliminate y - variable.

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The resultant equation is .

Use one of the equation with two variables (Equation: 2 or 3) to solve for y.

The second equation: .

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Solve for z using one of the original equations with three variables.

The first equation: .

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The solution .