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2 answers:
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We have that
<span>y = 2−x
and
y = 4x + 3
we know that
Part a)
</span>the graph of both lines, if it is a system of consistent equations, is going to intersect in a single point that will belong to both lines, so the values of that point will satisfy both equations
part b) see the attached table
<span>observing the table it is deduced that the solution value of x must be in the interval [-1, 0]
</span>
part c)
using a graph tool
see the attached figure
<span>the system is solved graphically, by identifying the point of intersection of both lines
</span>
the solution is the point (-0.2, 2.2)
<span>y = 2−x
and
y = 4x + 3
we know that
Part a)
</span>the graph of both lines, if it is a system of consistent equations, is going to intersect in a single point that will belong to both lines, so the values of that point will satisfy both equations
part b) see the attached table
<span>observing the table it is deduced that the solution value of x must be in the interval [-1, 0]
</span>
part c)
using a graph tool
see the attached figure
<span>the system is solved graphically, by identifying the point of intersection of both lines
</span>
the solution is the point (-0.2, 2.2)