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Which ordered pair is a solution of the equation?Choose answer:(A) Only (B) Only (C) Both and (D) Neither
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Q. Which ordered pair is a solution of the equation?Choose answer:(A) Only (B) Only (C) Both and (D) Neither
- Combine like terms: Simplify the equation by combining like terms.We start by adding to both sides and subtracting from both sides to get all the terms on one side and all the terms on the other side.This simplifies to:
- Solve for y: Solve for y in terms of x.To find y in terms of x, we can divide both sides of the equation by -2＂).\(\newline\$4x - 2y = 0\)\(\newline\)\(-2y = -4x\)\(\newline\)\(y = \frac{-4x}{-2}\)\(\newline\)\(y = 2x\)
- Test ordered pair \(1, 2\): Test the ordered pairs to see if they satisfy the equation \(y = 2x\).\(\newline\)First, we test the ordered pair \(1, 2\).\(\newline\)If we substitute \(x = 1\) into the equation \(y = 2x\), we get:\(\newline\)y = \(2\)(\(1\))\(\newline\)y = \(2\)\(\newline\)Since the y-value of the ordered pair \(1, 2\) is \(2\), this ordered pair satisfies the equation.
- Test ordered pair \( (2, 4) \): Test the second ordered pair \( (2, 4) \).\(\newline\)If we substitute \( x = 2 \) into the equation \( y = 2x \), we get:\(\newline\)\( y = 2(2) \)\(\newline\)\( y = 4 \)\(\newline\)Since the y-value of the ordered pair \( (2, 4) \) is \( 4 \), this ordered pair also satisfies the equation.
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