Which ordered pair is a solution of the equation?

Question

\[ 5x-2y=18\]
Choose 1 answer:
Choose 1 answer:
(Choice A) Only
\[(5,3)\]
A
Only
\[(5,3)\]
(Choice B) Only
\[(4,1)\]
B
Only
\[(4,1)\]
(Choice C) Both
\[(5,3)\] and
\[(4,1)\]
C
Both
\[(5,3)\] and
\[(4,1)\]
(Choice D) Neither
D
Neither

Answer 1

To determine which ordered pair is a solution of the equation \( 5x - 2y = 18 \), we will substitute the \( x \) and \( y \) values of each ordered pair into the equation and see if it holds true.

Let's check each option:

Option A: \((5,3)\)

Substituting \( x = 5 \) and \( y = 3 \): \[ 5(5) - 2(3) = 25 - 6 = 19 \] Since \( 19 \neq 18\), this pair is not a solution.

Option B: \((4,1)\)

Substituting \( x = 4 \) and \( y = 1 \): \[ 5(4) - 2(1) = 20 - 2 = 18 \] Since \( 18 = 18\), this pair is a solution.

Conclusion

The ordered pair \((5,3)\) is not a solution, and the ordered pair \((4,1)\) is a solution. Therefore, the correct choice is:

(Choice B) Only \((4,1)\).