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What is the result of subtracting the second equation from the first? {:[-2x+y=0],[-7x+3y=2]:}

What is the result of subtracting the second equation from the first?\newline−2x+y=0 -2 x+y=0 \newline−7x+3y=2 -7 x+3 y=2

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Full solution

Q. What is the result of subtracting the second equation from the first?\newline−2x+y=0 -2 x+y=0 \newline−7x+3y=2 -7 x+3 y=2
  1. Write Equations: Write down the equations to be subtracted.\newlineFirst equation: −2x+y=0-2x + y = 0\newlineSecond equation: −7x+3y=2-7x + 3y = 2
  2. Subtract Equations: Subtract the second equation from the first equation.\newline(−2x+y)−(−7x+3y)=0−2(-2x + y) - (-7x + 3y) = 0 - 2\newlineThis simplifies to −2x+y+7x−3y=−2-2x + y + 7x - 3y = -2
  3. Combine Like Terms: Combine like terms.\newline(−2x+7x)+(y−3y)=−2(-2x + 7x) + (y - 3y) = -2\newlineThis simplifies to 5x−2y=−25x - 2y = -2
  4. Check Result: Check the result for any mathematical errors.\newline5x−2y=−25x - 2y = -2 appears to be correctly obtained from the subtraction of the second equation from the first.

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