Question

Which equation is equivalent to 3/4=2x-1/2y+4

a. x=3/4y+2
b. x=3/4y+1
c. y =4/3x-5/6
d. y=4/3x-8/3

Answer 1

option a and d

Explanation:

`(3)/(4) = (2x - 1)/(2y + 4) \\ 3(2y + 4) = 4(2x - 1) \\ 6y + 12 = 8x - 4 \\ now \\ 6y = 8x - 4 - 12 \\ 6y = 8x - 16 \\ y = (8x - 16)/(6) \\ y = (8x)/(6) - (16)/(6) \\ y = (4x)/(3) - (8)/(3) \\ y = (4)/(3) x - (8)/(3) \\a nd \\ \\ 6y + 12 = 8x - 4 \\ 6y + 12 + 4 = 8x \\ 6y + 16 = 8x \\ (6y + 16)/(8) = x \\ (6y)/(8) + (16)/(8) = x \\ (3y)/(4) + 2 = x \\ x = (3)/(4) y + 2`