## Need help on solving Linear Algebra And Its Application Problem Set 1.2 Problem 2

Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.
vgmonnet
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### Need help on solving Linear Algebra And Its Application Problem Set 1.2 Problem 2

"Sketch these three lines and decide if the equations are solvable:
$x+2y=2$
$x - y=2$
$y=1$

What happens if all right-hand sides are zero? Is there any nonzero choice of right-hand sides that allows the three lines to intersect at the same point?"

I just started learning Linear Algebra and I am having a hard time solving the Problem Set 1.2 of Gilbert Strang's "Linear Algebra and Its Applications".

Please give some advice on solving problem in Linear Algebra. May be a step by step process through which I can attack the problems.

I have some questions: 1. Do we really need to visualize planes in 2d or 3d when solving equations? 2. This Problem Sets contains problems which are not direct and I don't really know if I have solved the problem correctly.

And a general question, Is there any specific ability needed to solve problems? coz I am really having a hard time!!!

buddy
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Joined: Sun Feb 22, 2009 10:05 pm
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### Re: Need help on solving Linear Algebra And Its Application Problem Set 1.2 Problem 2

"Sketch these three lines and decide if the equations are solvable:

$x\,+\,2y\,=\,2$
$x\, -\, y\,=\,2$
$y\,=\,1$

What happens if all right-hand sides are zero? Is there any nonzero choice of right-hand sides that allows the three lines to intersect at the same point?"

I am having a hard time solving the Problem Set.... May be a step by step process through which I can attack the problems.
Start with the graphs. The "solution" will be any point where all three lines cross. Are there any such points for this system?
1. Do we really need to visualize planes in 2d or 3d when solving equations?
No. They probably won't even ask for 3d probs.
2. This Problem Sets contains problems which are not direct and I don't really know if I have solved the problem correctly.
What do you mean by "not direct"?