Answer:
Option d. (-2, -10)
Explanation:
The complete question is
Which ordered pair is a solution of the equation y=5x?
a. (-2,10)
b. (-5, 25)
c. (-3,15)
d. (-2, -10)
we know that
If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation
we have
[tex]y=5x[/tex]
Verify each case
Substitute the value of x and the value of y in the linear equation and then compare the results
case a) we have
(-2,10)
For x=-2, y=10
substitute
[tex]10=5(-2)[/tex]
[tex]10=-10[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not a solution
case b) we have
(-5,25)
For x=-5, y=25
substitute
[tex]25=5(-5)[/tex]
[tex]25=-25[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not a solution
case c) we have
(-3,15)
For x=-3, y=15
substitute
[tex]15=5(-3)[/tex]
[tex]15=-15[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not a solution
case d) we have
(-2,-10)
For x=-2, y=-10
substitute
[tex]-10=5(-2)[/tex]
[tex]-10=-10[/tex] ----> is true
The ordered pair satisfy the equation
therefore
The ordered pair is a solution
