solve and check 6x-2y=2 and 9x-3y=1

Question

6x-2y=2
9x-3y=1.

Answer 1

Elimination method :

The system of equations are .

Neither variable has a common coefficient.The coefficient  of the y - variables are 2 and 3 and their least common multiple is 6, so multiply each equation by the value  that will make the y - coefficient 6.

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

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

The statement is false, so the system of equation has no solutions.