B is between A and C. Read on....HELP?

Question

B is between A and C.

AB=3x+4

BC=5x+1

AC=61

What is the value of x?

2.B is the midpoint of.

AB=3x

AC=7x-5

What is the value of BC?

Answer 1

1st one

If AB  = 3x +4 and BC = 5x + 1 then

   AC = AB + BC = 3x + 4 + 5x + 1 = 8x + 5

  

we know that AC = 61 so

8x + 5 = 61

8x = 56

x = 7

2nd one

I'm asuming you meant B is the midpoint of AC

If so then  2 (AB) = AC

2(3x) = 7x - 5

6x = 7x - 5

6x + 5 = 7x

5 = x

so AB = 3(5) = 15  

    AC = 7(5) - 5 = 30

    AB = BC = 15

Answer 2

AB +BC = AC

3x+4+5x+1 = 61

8x = 56

x = 7

AB = BC and AB = AC/2

3x = (7x-5)/2

6x = 7x-5

x = 5

AB = 3(5) = 15 = BC

Answer 3

3x+4+5x+1=61

8x=56

x=7

2.

2*AB=AC

3x*2=7x-5

x=5

BC=AB=3*5=15

Answer 4

If B is between A & C, then the distance AB plus the distance BC equals the total distance of AC.

A-------------------------B-----------...

Or the formula AB + BC = AC

If we replace the AB, BC, and AC with the values in the question we arrive at:

   AB   +   BC   = AC

(3x+4) + (5x+1) = 61

Simplified:

8x + 5 = 61

8x = 56

x=7

Hope this helps.

Answer 5

hi Lauren, here...

no 1.

just add AB with BC,

AB+  BC = AC

3x + 4 + 5x + 1 = 61

8x + 5 = 61

8x = 56

x =56 / 8

x = 7.

no2.

because b is the midpoint then

2 x AB = AC

2 x (3x) = 7x -5

6x = 7x - 5

5 = 7x - 6x

x = 5

then BC = AB = 3x = 3(5) = 15.

done

see ya...