Which ordered pair is a solution of the equation? y+5=2(x+1) Choose 1 answer: (A) Only(5,10) (B) Only (-1,-5) (c) Both (5,10) and (-1,-5) (D) Neither

Question

Which ordered pair is a solution of the equation?  y+5=2(x+1) Choose 1 answer: (A)  Only(5,10) (B) Only  (-1,-5) (c) Both  (5,10) and  (-1,-5) (D) Neither

Bytelearn · Accepted Answer

Understanding the equation: Understand the equation in question. The equation given is y + 5 = 2(x + 1). This is a linear equation in two variables, x and y.Simplifying the equation: Simplify the equation. To find the solution, we need to simplify the equation to its standard form y = mx + b, where m is the slope and b is the y-intercept. y + 5 = 2(x + 1) y + 5 = 2x + 2 y = 2x + 2 - 5 y = 2x - 3Testing the ordered pair (5, 10): Test the ordered pair (5, 10). Substitute x = 5 and y = 10 into the simplified equation to check if it satisfies the equation. 10 = 2(5) - 3 10 = 10 - 3 10 ≠ 7 The ordered pair (5, 10) does not satisfy the equation.Testing the ordered pair (-1, -5): Test the ordered pair (-1, -5). Substitute x = -1 and y = -5 into the simplified equation to check if it satisfies the equation. -5 = 2(-1) - 3 -5 = -2 - 3 -5 = -5 The ordered pair (-1, -5) satisfies the equation.Determining the correct answer: Determine the correct answer based on the tests. Since the ordered pair (-1, -5) satisfies the equation and the ordered pair (5, 10) does not, the correct answer is (B) Only (-1, -5).

Which ordered pair is a solution of the equation? $\newline$ $y+5=2(x+1)$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(5,10)$ $\newline$ (B) Only $(-1,-5)$ $\newline$ (C) Both $(5,10)$ and $(-1,-5)$ $\newline$ (D) Neither

Full solution

More problems from Does (x, y) satisfy the linear equation?

Related topics

Which ordered pair is a solution of the equation?\newliney+5=2(x+1) y+5=2(x+1) y+5=2(x+1)\newlineChoose 111 answer:\newline(A) Only (5,10) (5,10) (5,10)\newline(B) Only (−1,−5) (-1,-5) (−1,−5)\newline(C) Both (5,10) (5,10) (5,10) and (−1,−5) (-1,-5) (−1,−5)\newline(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $y+5=2(x+1)$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(5,10)$ $\newline$ (B) Only $(-1,-5)$ $\newline$ (C) Both $(5,10)$ and $(-1,-5)$ $\newline$ (D) Neither