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

Mar 15, 2016

system has no solution

#### Explanation:

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

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

$- 2 x = - 6 y - 17 \ldots \ldots \ldots \ldots \left(2\right)$

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

$- 14 - 6 y + 6 y = - 17 \text{ leading to} - 14 = - 17$

-14 ≠ - 17 hence system has no solution