Answer:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Explanation:
Given the equation
y = -2x+ 5
Checking the ordered pair (2, -9)
substituting x = 2 and y = -9 in the equation
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1
FALSE!
L.H.S ≠ R.H.S
Thus, the ordered pair (2, -9) is NOT a solution of the equation.
Checking the ordered pair (-2, 9)
substituting x = -2 and y = 9 in the equation
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9
TRUE!
L.H.S = R.H.S
Thus, the ordered pair (-2, 9) is a solution of the equation.
Conclusion:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.