Question

Which ordered pair is a solution of the equation?

y = -2x+ 5
Choose 1 answer:
a.Only (2, -9)
b.Only (-2,9)
c.both (2, -9) and (-2,9)
d.neither

Answer 1

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.