Question

Solve the proportion.

x+5/4 = 2x+1/2
A) x=1
B) x = -1
C) x=2/3
D) x=-2/3​

Answer 1

1 = x

Explanation:

x+5/4 = 2x+1/2

We can use cross products to solve

2(x+5) = 4(2x+1)

Distribute

2x+10 = 8x+4

Subtract 2x from each side

2x+10-2x = 8x-2x+4

10 = 6x+4

Subtract 4 from each side

10-4 = 6x+4-4

6 = 6x

Divide by 6

6/6 = 6x/6

1 = x