Solve the value of y for the given values of x: 4x = 3y - 7; x = 4,5,6

Thhe easiest way would be to solve for y first

4x=3y-7

add 7

4x+7=3y

divide both sides by 3

(4x+7) / 3=y

try each

x=4

(4 (4) + 7) / 3=y

(16+7) / 3=y

(23) / 3=y

7 and 2/3=y

(4,7.66666)

x=5

(4 (5) + 7) / 3=y

(20+7) / 3=y

(27) / 3=y

9=y

(5,9)

x=6

(4 (6) + 7) / 3=y

(24+7) / 3=y

(31) / 3=y

10 and 1/3=y

(6,10.333)

(4,7.66666)

(5,9)

(6,10.333)

when x=4, y=7 and 2/3

when x=5, y=9

when x=6, y=10 and 1/3

Rearranging the equation gives y = (4x + 7) / 3. Directly substitute the values of x given to the equation.

A. 4 : y = ((4) (4) + 7) / 3 = 23/3

B. 5 : y = ((4) (5) + 7) / 3 = 9

C. 6 : y = ((4) (6) + 7) / 3 = 31/3