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What is the result of subtracting the second equation from the first? {:[-2x+7y=10],[3x+7y=2]:}

What is the result of subtracting the second equation from the first?\newline−2x+7y=103x+7y=2 \begin{array}{c} -2 x+7 y=10 \\ 3 x+7 y=2 \end{array}

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Q. What is the result of subtracting the second equation from the first?\newline−2x+7y=103x+7y=2 \begin{array}{c} -2 x+7 y=10 \\ 3 x+7 y=2 \end{array}
  1. Write Equations: Write down the equations to be subtracted.\newlineFirst equation: −2x+7y=10-2x + 7y = 10\newlineSecond equation: 3x+7y=23x + 7y = 2
  2. Subtract Equations: Subtract the second equation from the first equation.\newline(−2x+7y)−(3x+7y)=10−2(-2x + 7y) - (3x + 7y) = 10 - 2\newlineThis simplifies to: −2x+7y−3x−7y=8-2x + 7y - 3x - 7y = 8
  3. Combine Like Terms: Combine like terms.\newline−2x−3x+7y−7y=8-2x - 3x + 7y - 7y = 8\newlineThis simplifies to: −5x+0y=8-5x + 0y = 8\newlineSince 7y−7y7y - 7y equals 00, it can be removed from the equation.
  4. Final Simplified Equation: Write the final simplified equation.\newlineThe result of subtracting the second equation from the first is −5x=8-5x = 8.

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