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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

Which ordered pair is a solution of the equation?\newliney+5=2(x+1)y+5=2(x+1)\newlineChoose 11 answer:\newline(A) Only (5,10)(5,10)\newline(B) Only (1,5)(-1,-5)\newline(C) Both (5,10)(5,10) and (1,5)(-1,-5)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newliney+5=2(x+1)y+5=2(x+1)\newlineChoose 11 answer:\newline(A) Only (5,10)(5,10)\newline(B) Only (1,5)(-1,-5)\newline(C) Both (5,10)(5,10) and (1,5)(-1,-5)\newline(D) Neither
  1. Understanding the equation: Understand the equation and the task.\newlineWe are given the equation y+5=2(x+1)y + 5 = 2(x + 1) and we need to determine which ordered pair(s) satisfy this equation.
  2. Simplifying the equation: Simplify the equation.\newlineTo find the solution, we need to simplify the equation to y=mx+by = mx + b form, where mm is the slope and bb is the y-intercept.\newliney+5=2(x+1)y + 5 = 2(x + 1)\newliney+5=2x+2y + 5 = 2x + 2\newlineSubtract 55 from both sides to isolate yy:\newliney=2x+25y = 2x + 2 - 5\newliney=2x3y = 2x - 3\newlineNow we have the equation in a simpler form.
  3. Testing the first ordered pair: Test the first ordered pair (5,10)(5, 10).\newlineWe will substitute xx with 55 and yy with 1010 in the simplified equation to see if it holds true.\newline10=2(5)310 = 2(5) - 3\newline10=10310 = 10 - 3\newline10=710 = 7\newlineThis is not true, so (5,10)(5, 10) is not a solution to the equation.
  4. Testing the second ordered pair: Test the second ordered pair (1,5)(-1, -5).\newlineWe will substitute xx with 1-1 and yy with 5-5 in the simplified equation to see if it holds true.\newline5=2(1)3-5 = 2(-1) - 3\newline5=23-5 = -2 - 3\newline5=5-5 = -5\newlineThis is true, so (1,5)(-1, -5) is a solution to the equation.

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