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Sagot :
Answer:
Part-A: refer to the attachment
Part-B: (10,11)
Part-C: yes
step-by-step explanation:
Part-A:
refer to the attachment
(I used a online graphing calculator to graph the equations which made the work easy)
Part-B:
When two lines share exactly one common point, they are called the intersecting lines and the point is called the point of interception
Looking at the graph,we can understand that the two lines share a common point at (10,11),
hence,
The lines intercept at the point (10,11)
Part C :
well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.
The point (10,11) means that the left and right hand side of both of the equations i.e [tex]\text{y=x+1 and y=-x+21}[/tex] are equal when x and y equal to 10 and 11 respectively.
So let's justify the points:
equation-1:
- y = x + 1
substitute the value of x and y respectively:
- [tex]11\stackrel{?}{=}10+1[/tex]
simplify addition:
- [tex]11\stackrel{\checkmark}{=}11[/tex]
equation-2:
- y = -x + 21
substitute the value of x and y respectively:
- [tex]11\stackrel{?}{=}-10+21[/tex]
simplify addition:
- [tex]11\stackrel{\checkmark}{=}11[/tex]
so,
Yes,the coordinates of the point of intersection satisfy both equations simultaneously

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