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Vesnalui [34]
3 years ago
5

Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent.

Mathematics
1 answer:
Semmy [17]3 years ago
8 0
Consistient means they have countable number of solutions (example, a point, not a line since lines are infinite)

inconsitient means they have no solutions (no points of intersection)


dependent means that they have infinite solutions (most likely becasue they are the same equaiton)



6x-2y=10
9x-3y=9
divide first equation by 2

3x-y=5

multipliy by -3
-9x+3y=15
add to second equation

-9x+3y=15
<u> 9x-3y=8 +</u>
0x+0y=23

0=23
fales

therfor it is inconsistient

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Read 2 more answers
Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form
lina2011 [118]
<h2>Answer:</h2>

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

  • Here the statement is:

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.

3 0
3 years ago
Write an equation of the given line that passes through the given point and has the given slope m
LenaWriter [7]
Y=mx+b
solve for b
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-11=-1.5+b
b=-11+1.5
b=-9.5
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3 years ago
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