How do you solve the simultaneous equations #6x + 2y = 50# and #2x + 4y = 20#?
1 Answer
Aug 9, 2015
Explanation:
#6x + 2y = 50" " " " " "(1)#
Can be written as
#6x + 2y - 50 = 0#
#2x + 4y = 20 " " " " " (2)#
Can be written as
#2x + 4y - 20 = 0#
To eliminate
#6x + 12y - 60 = 0#
Since both equations are equal to zero; we shall have them like this-
#6x + 2y - 50 = 6x + 12y - 60#
Take the unknowns to left and the constants to the right.
#cancel(6x) + 2y - cancel(6x) - 12y = - 60 + 50#
#- 10y = - 10 implies y = ((-10))/((-10)) = 1#
Substitute
#6x + 2 * 1 = 50#
#6x = 50 -2#
#x = 48/6 = 8#