Where do the lines #3x + y = 9# and #4x + 2y = 6# intersect?
1 Answer
Jan 26, 2017
The solution is
Explanation:
You need to start by isolating one of the variables. Usually, if one of the variables has coefficient
#3x + y = 9 -> y = 9 - 3x#
Substitute this into the other equation now for
#4x + 2(9 - 3x) = 6#
#4x + 18 - 6x = 6#
#-2x = -12#
#x = 6#
Now insert
#3(6) + y = 9#
#y = 9 - 18#
#y = -9#
The intersection point of the two lines is therefore
Hopefully this helps!