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Which ordered pair is a solution of the equation?

y-3=5(x-2)
Choose 1 answer:
(A) Only 
(2,3)
(B) Only 
(3,2)
(c) Both 
(2,3) and 
(3,2)
(D) Neither

Which ordered pair is a solution of the equation?\newliney3=5(x2)y-3=5(x-2)\newlineChoose 11 answer:\newline(A) Only (2,3)(2,3)\newline(B) Only (3,2)(3,2)\newline(C) Both (2,3)(2,3) and (3,2)(3,2)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newliney3=5(x2)y-3=5(x-2)\newlineChoose 11 answer:\newline(A) Only (2,3)(2,3)\newline(B) Only (3,2)(3,2)\newline(C) Both (2,3)(2,3) and (3,2)(3,2)\newline(D) Neither
  1. Understand the equation: Understand the equation in question.\newlineThe equation given is y3=5(x2)y - 3 = 5(x - 2). This is a linear equation in one variable, which can be simplified to find the relationship between xx and yy.
  2. Simplify the equation: Simplify the equation to find yy in terms of xx.\newlineTo do this, distribute the 55 into the parentheses: y3=5x10y - 3 = 5x - 10.\newlineThen, add 33 to both sides to solve for yy: y=5x10+3y = 5x - 10 + 3.\newlineSimplify the right side: y=5x7y = 5x - 7.
  3. Test the ordered pair (2,3)(2,3): Test the ordered pair (2,3)(2,3).\newlineSubstitute x=2x = 2 and y=3y = 3 into the simplified equation: 3=5(2)73 = 5(2) - 7.\newlineCalculate the right side: 3=1073 = 10 - 7.\newlineCheck if both sides are equal: 3=33 = 3.\newlineSince both sides are equal, the ordered pair (2,3)(2,3) is a solution to the equation.
  4. Test the ordered pair (3,2)(3,2): Test the ordered pair (3,2)(3,2).\newlineSubstitute x=3x = 3 and y=2y = 2 into the simplified equation: 2=5(3)72 = 5(3) - 7.\newlineCalculate the right side: 2=1572 = 15 - 7.\newlineCheck if both sides are equal: 2=82 = 8.\newlineSince both sides are not equal, the ordered pair (3,2)(3,2) is not a solution to the equation.

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