Solve 6b - 1 = 2/3b + 11 for b.
A) 5/18
B) 9/4.
C) 9/5
D) 4/9

9514 1404 393

  B)  9/4

Step-by-step explanation:

We can multiply by 3 to eliminate fractions, then solve the resulting 3-step equation in the usual way.

  6b -1 = 2/3b +11

  18b -3 = 2b +33 . . . . . . multiply by 3

  16b -3 = 33 . . . . . . . . . . subtract 2b

  16b = 36 . . . . . . . . . . . . add 3

  b = 36/16 = 9/4 . . . . . . .divide by the coefficient of b

The solution is b = 9/4.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation: