Question

The statement explains why the ordered pair is a solution to the system of equations.

Is the statement true or false?
The ordered pair (0,−2) is a solution to the system of equations because when​ ​(0,−2)​ is substituted into the equations, both equations are true. ​−5x+y=−23x+5y=−12​

Answer 1

The statement is false.

Explanation:

The system of equations is given by,

`-5x+y= -2`

`3x+5y= -12`

On substituting (0,-2) in the equations, we get,

`-5* 0+(-2)=0 -2=-2`

`3* 0+5* (-2) = 0-10=-10\\eq -12`

Since, we see that,

The point (0,-2) does not satisfy the equation
`3x+5y= -12`.

Thus, the statement is false.