Answer:
b. (2,0)
Step-by-step explanation:
To find which ordered pair is a solution, we have to replace then into the equation, and the result has to be an identity, that is, 0 = 0.
Equation:
[tex]y = -5x + 10[/tex]
Option a:
[tex](-15,5)[/tex], so [tex]x = -15, y = 5[/tex]
[tex]y = -5x + 10[/tex]
[tex]5 = -5(-15) + 10[/tex]
[tex]5 = 75 + 10[/tex]
[tex]5 = 85[/tex]
Not an identity, so this ordered pair is not a solution.
Option b:
[tex](2,0)[/tex], so [tex]x = 2, y = 0[/tex]
[tex]y = -5x + 10[/tex]
[tex]0 = -5(2) + 10[/tex]
[tex]0 = -10 + 10[/tex]
[tex]0 = 0[/tex]
Identity, and thus, the correct answer is given by option b.
