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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?\newline2x+y=0 -2 x+y=0 \newline7x+3y=2 -7 x+3 y=2 \newline\square

Full solution

Q. What is the result of subtracting the second equation from the first?\newline2x+y=0 -2 x+y=0 \newline7x+3y=2 -7 x+3 y=2 \newline\square
  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)=02(-2x + y) - (-7x + 3y) = 0 - 2\newlineThis simplifies to 2x+y+7x3y=2-2x + y + 7x - 3y = -2
  3. Combine Like Terms: Combine like terms.\newline(2x+7x)+(y3y)=2(-2x + 7x) + (y - 3y) = -2\newlineThis simplifies to 5x2y=25x - 2y = -2
  4. Check for Errors: Check the result for any mathematical errors. 5x2y=25x - 2y = -2 appears to be correctly obtained from the subtraction of the second equation from the first.

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