10x 10y = 1 x = y - 3 what is the value of y?

Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".

10x - 10y = 1

x = y - 3

10x - 10y = 1

x = y - 3

The second equation is solved for x, So substitute (y - 3) for x in the first equation 10x - 10y = 1

10 (y - 3) - 10y = 1

10y - 30 - 10y = 1 - 30 = 1

The y's all canceled out and left a false numerical equation, - 30 in not equal to 1, so there is no solution. The system is called an inconsistent system of equation.