Question

What is the best way to describe the solution of this system of equations?

2x - 5y = 8
5y = -2x + 8
There are infinitely many solutions
There is one solution (4,0).
There are no solutions of the system.
There is one solution (0,4).

Answer 1

x = 4 and y = 0

:-))

Explanation:

2x - 5y = 8

x = 8 + 5y .........(1)

2

5y = -2x + 8

x = 8 - 5y ........(2)

2

get from 1 and 2

8 + 5y = 8- 5y

2 2

or, 10y = 0

or, y = 0

put the value of y in 1

x = 8 + 0

2

or, x = 4

Answer 2

There is one solution (4,0).