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please help 50 points

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)


Part B: Make tables to find the solution to 4–x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)


Part C: How can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Verified Answer :

kxngsherk

Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.

PrinceBrainly

Hi There! :D

Part A)
you have the equations of two lines:
y = 4-x
and
y = 2x + 3

If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross).
the y value of this point will be BOTH 4-x and 2x+3. In other words
4-x= 2x+3

part C)
graph the two lines
y = 4-x and y = 2x + 3
and see where they intersect. That is, pick out the (x,y) pair that is on both lines.

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