Question

How do you solve `x-3y=7` and `-2x=-6y-17` using substitution?

Answer 1

system has no solution

Explanation:

Begin by labelling the equations . Makes it 'easier' to follow

x - 3y = 7 ......................................(1)

`-2x = - 6y - 17 ............(2)`

from(1) we obtain x = 7 + 3y and substitute in (2)

hence : -2(7 + 3y) = - 6y - 17

distribute bracket : - 14 - 6y = - 6y - 17

collecting like terms , y terms on left , numbers on right

`-14 - 6y + 6y = - 17" leading to" - 14 = -17`

-14 ≠ - 17 hence system has no solution