Question

MEDALS!!!
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?

Answer 1

Okay check this:

Answer 2

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.

I'm not sure how to show you part B

Answer 3

Ok, makes sense. I believe what B is saying is make tables and it has to range between -3 and 3

Answer 4

@charlotte123

Answer 5

For B
Make a table - I shall hand you the Data.

Answer 6

4-(1) = 2(1) + 3
4-(2) = 2(2) + 3
4-(3) = 2(3) + 3
4-(0) = 2(0) + 3
4-(-1) = 2(-1) + 3
4-(-2) = 2(-2) + 3
4-(-3) = 2(-3) + 3

Answer 7

False - 1st one
As 3 ≠ 5

Second one as well - As 2 ≠ 7

3rd one as well - As 1 ≠ 9

Answer 8

Thank You!!! :):):):):)

Answer 9

Is that all to Part C???

Answer 10

Is that all to part C??

Answer 11

4th one as well - As 4 ≠ 3

5th one as well - As 5 ≠ 1

6th one as well - As 6 ≠ -1

Last one as well - As 7 ≠ -3

Answer 12

Is this B or C??

Answer 13

For B
Hold on

Answer 14

Graph for C ----> http://www.wolframalpha.com/input/?i=4-x+%3D+2x+%2B+3+ <----

Answer 15

Ok thanks but I need to put that in Word

Answer 16

Or something like that and I can't put graphs like that in Word

Answer 17

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/izs/gsolve/gsolve.html <-----

Answer 18

It won't let me!!! UGH!!!!!! Not your fault, but is there any way you can explain that in words?? Please