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OpenStudy (twizttiez):
Use the graph to state the solution for the system.
x – y = 4 (line a)
x + y = 4 (line b)
A.
(0, 4)
B.
(4, 0)
C.
(0, –4)
D.
(–4, 0)
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OpenStudy (mathmath333):
what is the point where they intesect ?
OpenStudy (twizttiez):
0,4 right?
OpenStudy (mathmath333):
\(\Huge~no!\)
OpenStudy (twizttiez):
Ah! ok 4,0?
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OpenStudy (mathmath333):
\(\small yes\)
OpenStudy (twizttiez):
Can you help with a few more?
OpenStudy (mathmath333):
ya bring it on
OpenStudy (twizttiez):
Yay!
OpenStudy (twizttiez):
Do you want me to open a new question?
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OpenStudy (mathmath333):
i dont care
OpenStudy (twizttiez):
How many solutions are there to the following system of equations?
3x – 9y = 0
–x + 3y = –3
A.
1
B.
2
C.
0
D.
infinitely many
OpenStudy (twizttiez):
C.0?
OpenStudy (twizttiez):
???
OpenStudy (mathmath333):
\(\large\tt \begin{align} \color{black}{3x – 9y = 0--\color{red}{(1)}\\~\\
–x + 3y = –3---\color{red}{(2)}}\end{align}\)
divide (1) by 3 then add with (2)
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OpenStudy (twizttiez):
That would make it inconsistent right?
OpenStudy (mathmath333):
no
OpenStudy (twizttiez):
Oh ok then hmm
OpenStudy (twizttiez):
Would it be D?
OpenStudy (mathmath333):
first add and find x and y
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OpenStudy (twizttiez):
I'm confused
OpenStudy (twizttiez):
2x-y = 5; 3x+2y = 4;
--> x= 2; y=-1;
3c+5a = 115; c+a = 33;
--> c= 25; a= 8;
3c+5a = 150; c+a = 40;
--> c= 25; a= 15;
6x-9y = 9; 2x-3y = 6;
1 -3/2 -3/2
0 0 -3
OpenStudy (twizttiez):
Right?
OpenStudy (twizttiez):
So therefore it would be inconsistent
OpenStudy (twizttiez):
I think
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OpenStudy (mathmath333):
do u think ur work and ur question matches
OpenStudy (twizttiez):
Oh o_O ok one moment
OpenStudy (twizttiez):
3x-9y = 0; -x+3y = -3;
1 -3 0
0 0 3 ?
OpenStudy (twizttiez):
Ok well i will brb
OpenStudy (twizttiez):
Ok im back
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OpenStudy (mathmath333):
well the system of equtions
of the form
\(ax+by=0\\~\\
mx+ny=c\)
where and \(c\neq 0\) and either \(a\neq m\) or
\(b\neq n\) has \(2\) solutions
OpenStudy (twizttiez):
Ohh ok thanks i do have like 8 more wanna help?