SOLUTION: Find the point of intersection of the pair of straight lines. y = 5 6 x − 9 x + 6y + 18 = 0

Algebra ->  Linear-equations -> SOLUTION: Find the point of intersection of the pair of straight lines. y = 5 6 x − 9 x + 6y + 18 = 0       Log On


   

Question 689942: Find the point of intersection of the pair of straight lines.
y =

5


6
x − 9
x + 6y + 18 = 0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+56x+-9

x+%2B+6y+%2B+18+=+0........write both in standard form
_______________________

-56x%2By+=+-9............both side multiply by -6

x+%2B+6y+=-18
____________________solve the system by addition
336x-6y+=+54
x+%2B+6y+=-18......solve the system by addition
___________________________
336x%2Bx-6y%2B6y+=+54%2B%28-18%29
337x+=+54-18
337x+=+36
x+=+36%2F337
x+=+0.11


now find y
x+%2B+6y+=-18....plug in x+=+0.107
0.107%2B+6y+=-18
+6y+=-18-0.107
+6y+=-18.107
+y+=-18.107%2F6
+y+=-3.02

so, the two lines intersect at the point (0.11,-3.02)
on this graph you can see that point