How do you solve 2m-5n=-6 and 2m-7n=-14?
1 Answer
Explanation:
Your system of equations looks like this
#{(2m - 5n = -6), (2m - 7n = -14) :}#
You can solve this by substituting
Here's how that first method would look.
#2m = - 6 + 5n#
#(-6 + 5m) - 7n = -14#
#5m - 7n = -14 + 6#
#-2n = -8 implies n = ((-8))/((-2)) = 4#
This means that
#2m = -6 + 5 * (4)#
#m = 14/2 = 7#
The solution set will thus be
#{(n=4), (m = 7) :}#
Now try the second method.
#{(2m - 5n = -6 | (-1)), (2m - 7n = -14) :}#
#{(-2m + 5n = 6), (2m - 7n = -14) :}#
#stackrel("-------------------------------------------")#
#-color(red)(cancel(color(black)(2m))) + 5n + color(red)(cancel(color(black)(2m))) - 7n = 6 + (-14)#
#-2n = -8 implies n = 4#
Once again,