Question

What is the solution to the system of equations below?

5/2x = y
2x+4/5y=8

A: No solution
B:16/9, 40/9
C: (3, 15/2)
D:(2,5)​

Answer 1

C

Explanation:

`(5)/(2)` x = y → (1)

2x +
`(4)/(5)` y = 8 → (2)

substitute y =
`(5)/(2)` x into (2)

2x +
`(4)/(5)` (
`(5)/(2)` ) = 8

2x + 2 = 8 ( subtract 2 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

substitute x = 3 into (1)

y =
`(5)/(2)` × 3 =
`(15)/(2)`

solution is (3,
`(15)/(2)` )