Question

Solve for x

Note drawn to scale

Geometry

Answer 1

x=2

Explanation:

1. Set the proportions equal: 5/2x-3 = 15/27

2. Butterfly method: 27x5 = 3x-3 x 15

3. Continue solving: 135 = 45x-45

4. Break it down: 45x = 90

5. Solution: 2 because 45 x 2 is equal to 90

Answer 2

x=4

Explanation:

`(3x-3)/(5)=(24+3x)/(20)` Original equation. A proportion can be set up so that

you can find x. One proportion can be one side over the

other side of one of the smaller triangle set equal

to the total length of the larger triangle. 27 and -3 can

combine forming 24, which continues to be added to 3x.

15 and 5 can be combined to become 20.

20(3x-3)=5(24+3x) Now, cross multiply. This involves the distribution of one

term to the terms it's multiplied by. 20*3x=60x and

20*-3=-60. 5*24=120 and 5*3x=15x.

60x-60=120+15x Now, the goal is to get x alone on one side. You can do

this by combining like terms. Subtract 15x from both

sides and add 60 to both sides.

45x=180 Then, divide by 45 to get x by itself.

x=4 This is your answer.