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forsale [732]
3 years ago
8

To solve the equation 2x−3=3x−7 , Esin graphs the functions f(x)=2x−3 and g(x)=3x−7 on the same set of coordinate axes.

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0
We have that

<span>f(x)=2x−3
g(x)=3x−7

2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4 
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 ------->  f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)

using a graph tool
see the attached figure

</span><span>statement

case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct

case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct

case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct

case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct

the answer is 
</span>case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

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