Question

Complete the missing value in the solution to the equation:
7 + 5x = =3(y-2)
( ,5)

Answer 1

x = 2/5

Explanation:

Given:

7 + 5x = 3(y-2)

Rearrange this equation such that x is expressed in terms of y

7 + 5x = 3(y-2) (expand right side)

7 + 5x = y(3)-2(3)

7 + 5x = 3y-6 (subtract 7 from both sides)

5x = 3y - 6 - 7

5x = 3y - 13

we are given the y-value of the coordinate pair (? , 5)

simply substitute y=5 into the equation above

5x = 3y - 13

5x = 3(5) - 13

5x = 15 - 13

5x = 2 (divide both sides 5)

x = 2/5