The system of equations are .

A system of linear equations is transformed into an equivalent system if :

1. Two equations are interchanged. 2. An equation is multiplied by a nonzero constant. 3. A constant multiple of another equation is added to a given equation.

Neither variable has a common coefficient.The coefficient  of the y - variables are 5 and 2 and their least common multiple is 10, so multiply each equation by the value  that will make the y - coefficient 10.

To get two equations that contain opposite terms multiply the first equation by negative 2 and the second equation by 5.

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

The resultant equation is .

The equation x = - 2 paired with either of the two original equations produces an equivalent system.So, substitute the value of x = - 2 in either of the original equations to solve for y.

The first equation: .

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The solution of equivalent system (x, y) = (- 2, 5).

Show that the equivalent system has the same solution as the original system of equations.

To check the solution, substitute the value of (x, y) = (- 2, 5) in the original system, as follows.

Therefore linear system and equivalent system has same solution.

The solution is .