3x - 6y = - 12 x - 2y = 10

no solution

Step-by-step explanation:

Given the 2 equations

3x - 6y = - 12 → (1)

x - 2y = 10 → (2)

Rearrange (2) expressing x in terms of y by adding 2y to both sides

x = 10 + 2y → (3)

Substitute x = 10 + 2y into (1)

3 (10 + 2y) - 6y = - 12 ← distribute left side

30 + 6y - 6y = - 12 (subtract 30 from both sides)

0 = - 42 ← not possible

Thus the system of equations has no solution