Q. 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
Understanding the equation: Understand the equation and the task.We are given the equation y+5=2(x+1) and we need to determine which ordered pair(s) satisfy this equation.
Simplifying the equation: Simplify the equation.To find the solution, we need to simplify the equation to y=mx+b form, where m is the slope and b is the y-intercept.y+5=2(x+1)y+5=2x+2Subtract 5 from both sides to isolate y:y=2x+2−5y=2x−3Now we have the equation in a simpler form.
Testing the first ordered pair: Test the first ordered pair (5,10).We will substitute x with 5 and y with 10 in the simplified equation to see if it holds true.10=2(5)−310=10−310=7This is not true, so (5,10) is not a solution to the equation.
Testing the second ordered pair: Test the second ordered pair (−1,−5).We will substitute x with −1 and y with −5 in the simplified equation to see if it holds true.−5=2(−1)−3−5=−2−3−5=−5This is true, so (−1,−5) is a solution to the equation.
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