Question

HELP WITH 10 QUESTIONS?!?! HERE IS THE FIRST 1.
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.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
A system of equations is shown below.
5x - 5y = 10
3x - 2y = 2

Answer 1

Well not 10, maybe a little less

Answer 2

what did you say for part A?

Answer 3

That is the thing I do not understand what they want me to do... @phi

Answer 4

@mathstudent55 I got part B. Can you help with a and c?? PLease and thankss.

Answer 5

for 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

Answer 6

For 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.