How do you solve the system of equations #2y = 10x + 24# and #5x - y = - 12#?

1 Answer
May 8, 2018

Answer:

There are infinitely many solutions,

Explanation:

Make #y# the subject in both equations:

#2y=10x+24" and "5x-y =-12#

#y = 5x+12color(white)(xxxxxxxx)5x+12 =y#

We can see now that the two equations are actually exactly the same.

There is no unique solution for an equation with two variables.
The equations cannot be solved.

A few solutions are:

#x=1, " "y=17#
#x =0," " y= 12#
#x=3, " "y= 27#
#x=-5, " "y = -13#