X – y=11
3x + 10y= -6

(8, - 3 )

Step-by-step explanation:

Given the 2 equations

x - y = 11 → (1)

3x + 10y = - 6 → (2)

Multiplying (1) by 10 and adding to (2) will eliminate the y- term

10x - 10y = 110 → (3)

Add (2) and (3) term by term to eliminate y

13x + 0 = 104

13x = 104 ( divide both sides by 13 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

3(8) + 10y = - 6

24 + 10y = - 6 ( subtract 24 from both sides )

10y = - 30 ( divide both sides by 10 )

y = - 3

solution is (8, - 3 )