Question

Solve the system using the substitution method. is inconsistent or the equations are dependent. -x-5y=-3 x=-5y-7

Answer 1

Inconsistent

Explanation:

- x - 5y = - 3

Take minus ( - ) common both sides

- (x + 5y) = - 3

Multiply - 1 on both the sides

- 1 × - (x + 5y) = - 1 × (- 3)

x + 5y = 3

Substitute x = - 5y - 7

x + 5y = 3

- 5y - 7 + 5y = 3

- 7 = 3

But actually - 7 cannot be equal to 3.

Hence

The equations are inconsistent

Note

Inconsistent means equations that have no solutions in common.