How do you solve the system x=10 +5y and 2x-10y=20?

2 Answers
Jun 9, 2018

Answer:

#x;(x-10)/5#

Explanation:

Dividing the second equation by #2# we get

#x-5y=10#
or
#x=10+5y#
this equation is identical to the first one.

Jun 9, 2018

Answer:

There are many solutions because the two equations are just different forms of the same equation.

Explanation:

The equations given do not represent a system of equations because the one is just a different form of the other.

#2x-10y=20# if divided by #2# gives #x -5y =20# which is the same as #x=10+5y#

There is no single or unique for an equation which has two variables, but rather there are infinitely many solutions.

In this case, any value can be chosen for #y# and the corresponding #x# value can be determined.

A few possible solutions are:

#(10,0)" "(20,2)" "(25,3)" "(60,10)# and so on.