System ot 2 linear inequalities

System ot 2 linear inequalities

Postby student » Tue Oct 11, 2005 5:33 am


Does someone knows which are the answers of the system
|x + y < 4
|2x + 5y > 10
student
 

Re: System ot 2 linear inequalities

Postby Jessica » Thu Sep 20, 2012 12:37 am

We simply solve the above equation to find the values of x and y.
2x + 5y > 10
x + y < 4

2x + 5y >= 10
x + y <= 4
Multiplying second equation with 2 we get:

2x + 2y <= 8

Solving both the equations we get:
3y = 2
y = 2/3

Now put the value of y in second equation:
y = 4 - 2/3
= 10/3

Jessica
 
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