Which ordered pair is a solution of the equation? 5x-2y=18 Choose 1 answer: (A) Only (5,3) (B) Only (4,1) (C) Both (5,3) and (4,1) (D) Neither

Check Substitution (A): Substitute the x and y values from option (A) into the equation to check if it satisfies the equation. For the ordered pair (5,3), substitute x=5 and y=3 into the equation 5x-2y=18. 5(5) - 2(3) = 25 - 6 = 19 Check if the result equals 18. 19 ≠ 18Result for Substitution (A): Since the result from step 1 does not equal 18, option (A) is not a solution to the equation.Check Substitution (B): Substitute the x and y values from option (B) into the equation to check if it satisfies the equation. For the ordered pair (4,1), substitute x=4 and y=1 into the equation 5x-2y=18. 5(4) - 2(1) = 20 - 2 = 18 Check if the result equals 18. 18 = 18Result for Substitution (B): Since the result from step 3 equals 18, option (B) is a solution to the equation.Final Solution: Since option (A) is not a solution and option (B) is a solution, the correct answer is (B) Only (4,1).

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Which ordered pair is a solution of the equation?

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

Which ordered pair is a solution of the equation? $\newline$ $5x-2y=18$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(5,3)$ $\newline$ (B) Only $(4,1)$ $\newline$ (C) Both $(5,3)$ and $(4,1)$ $\newline$ (D) Neither

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Math Problems

Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

\newline

5x-2y=18

\newline

Choose

1

answer:

\newline

(A) Only

(5,3)

\newline

(B) Only

(4,1)

\newline

(5,3)

and

(4,1)

\newline

(D) Neither

Check Substitution (A): Substitute the $x$ and $y$ values from option (A) into the equation to check if it satisfies the equation. $\newline$ For the ordered pair $(5,3)$ , substitute $x=5$ and $y=3$ into the equation $5x-2y=18$ . $\newline$ $5(5) - 2(3) = 25 - 6 = 19$ $\newline$ Check if the result equals $18$ . $\newline$ $19 \neq 18$
Result for Substitution $A$ : Since the result from step $1$ does not equal $18$ , option $A$ is not a solution to the equation.
Check Substitution (B): Substitute the $x$ and $y$ values from option (B) into the equation to check if it satisfies the equation. $\newline$ For the ordered pair $(4,1)$ , substitute $x=4$ and $y=1$ into the equation $5x-2y=18$ . $\newline$ $5(4) - 2(1) = 20 - 2 = 18$ $\newline$ Check if the result equals $18$ . $\newline$ $18 = 18$
Result for Substitution (B): Since the result from step $3$ equals $18$ , option (B) is a solution to the equation.
Final Solution: Since option (A) is not a solution and option (B) is a solution, the correct answer is (B) Only $(4,1)$ .