According to the table above, which equation could be used to find the value of y in terms of x?

option D that is  y = 5x

Step-by-step explanation:

we will put the value of x one by one in each equation and match the answer with the value against x in the table, y

USING CO-ORDINATES (4,20)

a) x = 5y

   y = x/5

   20 = 4/5 . FALSE

b) x = 5 + y

   y = x - 5

   20 = 4 - 5 FALSE

c) y = 5 + x

   y = 5 +4

   20 = 9 FALSE

d) y = 5x

   20 = 5(4)

   20 = 20 TRUE

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.