Q. 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
Understand the equation: Understand the equation in question.The equation given is y−3=5(x−2). This is a linear equation in one variable, which can be simplified to find the relationship between x and y.
Simplify the equation: Simplify the equation to find y in terms of x.To do this, distribute the 5 into the parentheses: y−3=5x−10.Then, add 3 to both sides to solve for y: y=5x−10+3.Simplify the right side: y=5x−7.
Test the ordered pair (2,3): Test the ordered pair (2,3).Substitute x=2 and y=3 into the simplified equation: 3=5(2)−7.Calculate the right side: 3=10−7.Check if both sides are equal: 3=3.Since both sides are equal, the ordered pair (2,3) is a solution to the equation.
Test the ordered pair (3,2): Test the ordered pair (3,2).Substitute x=3 and y=2 into the simplified equation: 2=5(3)−7.Calculate the right side: 2=15−7.Check if both sides are equal: 2=8.Since both sides are not equal, the ordered pair (3,2) is not a solution to the equation.
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