Solve the simultaneous equations y=x-5 and 10y=2x+6 by elimination, and by substitution.

Elimination:

Multiply equation (eqn) 1 by 2: 2y=2x-10

Subtract modified eqn 1 from 2: 8y=16

Divide through by 8: y=2

Sub y=2 into eqn 1 or 2 and rearrange to find: x=7

Subsitution:

Sub eqn 1 into eqn 2: 10x-50=2x+6

Rearrange: 8x=56

Divide through by 8: x=7

Sub x=7 into equation 1 or 2 and rearrange to find: y=2