Which ordered pair is a solution of the equation? 3x-y=13 Choose 1 answer: (A) Only (6,5) (B) Only (3,-4) (C) Both (6,5) and (3,-4) (D) Neither

Step 1: Test ordered pair (6,5): Test the ordered pair (6,5) to see if it satisfies the equation 3x - y = 13. Substitute x with 6 and y with 5 into the equation: 3(6) - 5 = 13. Calculate: 18 - 5 = 13. Check if the result is true: 13 = 13.Step 2: Substitute values into equation: Since the ordered pair (6,5) satisfies the equation, we can say that (6,5) is a solution.Step 3: Calculate the result: Test the ordered pair (3,-4) to see if it satisfies the equation 3x - y = 13. Substitute x with 3 and y with -4 into the equation: 3(3) - (-4) = 13. Calculate: 9 + 4 = 13. Check if the result is true: 13 = 13.Step 4: Check if the result is true: Since the ordered pair (3,-4) also satisfies the equation, we can say that (3,-4) is a solution as well.

Home

Math Problems

Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

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

\newline

3x-y=13

\newline

Choose

1

answer:

\newline

(A) Only

(6,5)

\newline

(B) Only

(3,-4)

\newline

(6,5)

and

(3,-4)

\newline

(D) Neither

Step $1$ : Test ordered pair $(6,5)$ : Test the ordered pair $(6,5)$ to see if it satisfies the equation $3x - y = 13$ . $\newline$ Substitute $x$ with $6$ and $y$ with $5$ into the equation: $3(6) - 5 = 13$ . $\newline$ Calculate: $18 - 5 = 13$ . $\newline$ Check if the result is true: $13 = 13$ .
Step $2$ : Substitute values into equation: Since the ordered pair $(6,5)$ satisfies the equation, we can say that $(6,5)$ is a solution.
Step $3$ : Calculate the result: Test the ordered pair $(3,-4)$ to see if it satisfies the equation $3x - y = 13$ . $\newline$ Substitute $x$ with $3$ and $y$ with $-4$ into the equation: $3(3) - (-4) = 13$ . $\newline$ Calculate: $9 + 4 = 13$ . $\newline$ Check if the result is true: $13 = 13$ .
Step $4$ : Check if the result is true: Since the ordered pair $(3,-4)$ also satisfies the equation, we can say that $(3,-4)$ is a solution as well.