Which ordered pair is a solution of the equation? y=7x-2 Choose 1 answer: (A) Only(3,15) (B) Only (-1,-10) (c) Both (3,15) and (-1,-10) (D) Neither

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation y = 7x - 2.Testing Ordered Pair (3, 15): Test the first ordered pair (3, 15). Substitute x = 3 and y = 15 into the equation and check if both sides are equal. 15 = 7(3) - 2 15 = 21 - 2 15 = 19 This is not true, so (3, 15) is not a solution.Testing Ordered Pair (-1, -10): Test the second ordered pair (-1, -10). Substitute x = -1 and y = -10 into the equation and check if both sides are equal. -10 = 7(-1) - 2 -10 = -7 - 2 -10 = -9 This is not true, so (-1, -10) is not a solution.

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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

y=7 x-2

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Choose

1

answer:

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(A) Only

(3,15)

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(B) Only

(-1,-10)

\newline

(3,15)

and

(-1,-10)

\newline

D Neither

Problem Understanding: Understand the problem. $\newline$ We need to determine which ordered pair(s) satisfy the equation $y = 7x - 2$ .
Testing Ordered Pair $(3, 15)$ : Test the first ordered pair $(3, 15)$ . $\newline$ Substitute $x = 3$ and $y = 15$ into the equation and check if both sides are equal. $\newline$ $15 = 7(3) - 2$ $\newline$ $15 = 21 - 2$ $\newline$ $15 = 19$ $\newline$ This is not true, so $(3, 15)$ is not a solution.
Testing Ordered Pair $(-1, -10)$ : Test the second ordered pair $(-1, -10)$ . $\newline$ Substitute $x = -1$ and $y = -10$ into the equation and check if both sides are equal. $\newline$ $-10 = 7(-1) - 2$ $\newline$ $-10 = -7 - 2$ $\newline$ $-10 = -9$ $\newline$ This is not true, so $(-1, -10)$ is not a solution.