in this one, is about the same as the previous one, if you set them both at y = mx+b, slope-intercept form, you'll notice the slopes are the same, whilst the y-intercepts differ.
so both lines are parallel, and never meet.
Solve the following system:
{3 x + 7 y = 31 | (equation 1)
-3 x - 2 y = -1 | (equation 2)
Add equation 1 to equation 2:
{3 x + 7 y = 31 | (equation 1)
0 x+5 y = 30 | (equation 2)
Divide equation 2 by 5:
{3 x + 7 y = 31 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{3 x+0 y = -11 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by 3:
{x+0 y = (-11)/3 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer: x = -11/3 , y = 6
