Which ordered pair is a solution of the equation? y=-6x+1 Choose 1 answer: (A) Only (-2,13) (B) Only (-1,7) (c) Both (-2,13) and (-1,7) (D) Neither

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation y = -6x + 1.Testing Ordered Pair (-2, 13): Test the first ordered pair (-2, 13). Substitute x with -2 and y with 13 in the equation y = -6x + 1 and check if the equation holds true. 13 = -6(-2) + 1 13 = 12 + 1 13 = 13 The equation holds true for the ordered pair (-2, 13).Testing Ordered Pair (-1, 7): Test the second ordered pair (-1, 7). Substitute x with -1 and y with 7 in the equation y = -6x + 1 and check if the equation holds true. 7 = -6(-1) + 1 7 = 6 + 1 7 = 7 The equation holds true for the ordered pair (-1, 7).

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

y=-6x+1

\newline

Choose

1

answer:

\newline

(A) Only

(-2,13)

\newline

(B) Only

(-1,7)

\newline

(-2,13)

and

(-1,7)

\newline

(D) Neither

Problem Understanding: Understand the problem. $\newline$ We need to determine which ordered pair(s) satisfy the equation $y = -6x + 1$ .
Testing Ordered Pair $(-2, 13)$ : Test the first ordered pair $(-2, 13)$ . $\newline$ Substitute $x$ with $-2$ and $y$ with $13$ in the equation $y = -6x + 1$ and check if the equation holds true. $\newline$ $13 = -6(-2) + 1$ $\newline$ $13 = 12 + 1$ $\newline$ $13 = 13$ $\newline$ The equation holds true for the ordered pair $(-2, 13)$ .
Testing Ordered Pair $(-1, 7)$ : Test the second ordered pair $(-1, 7)$ . $\newline$ Substitute $x$ with $-1$ and $y$ with $7$ in the equation $y = -6x + 1$ and check if the equation holds true. $\newline$ $7 = -6(-1) + 1$ $\newline$ $7 = 6 + 1$ $\newline$ $7 = 7$ $\newline$ The equation holds true for the ordered pair $(-1, 7)$ .