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Linear inequalities?
3x - y ≤ 6
x ≥ 1
y ≤ 3
--------------------
10x + 2y = 7
y = -5x + 3

this is it
thanks

2007-02-07 16:53:13 · 2 answers · asked by dee free 2 in Science & Mathematics Mathematics

2 answers

3x - y ≤ 6
x ≥ 1
y ≤ 3
Linear inequalities is area surrounded
by 3x - y ≤ 6,
x ≥ 1 and
y ≤ 3

All the point within the area
satify the linear inequalities
For example (2,2) satisfy located
in the area and satify all the inequalities.

To find all the points,
you need to plot the graph.

But, if we know interception point
between 3x-y=6, x=1, y=3,
then we can get all the pair points.

Interception point between
3x-y=6 and x=1
at (1,-3)

Interception point between
3x-y=6 and y=3
at (3,3)

Interception point between
x=1 and y=3
at (1,3)

So, all pair points are
(1,3),(1,2),(1,1),(1,0),
(1,-1),(1,-2),(1,-3),
(2,3),(2,2),(2,1),(2,0),
(3,3)

_________________

10x + 2y = 7
y= -5x + 7 ---(1)
y = -5x + 3 ---(2)

Line (1) and (2) are parallel
so, no interception point!!!

2007-02-07 17:38:17 · answer #1 · answered by seah 7 · 1 0

sorry what's your question?

2007-02-08 01:31:13 · answer #2 · answered by Christine 3 · 0 0

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