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What is the result of subtracting the second equation from the first?

2x+7y=-8

2x-5y=-1

What is the result of subtracting the second equation from the first?\newline2x+7y=82x5y=1 \begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}

Full solution

Q. What is the result of subtracting the second equation from the first?\newline2x+7y=82x5y=1 \begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}
  1. Write Equations: Write down the equations to be subtracted.\newlineFirst equation: 2x+7y=82x + 7y = -8\newlineSecond equation: 2x5y=12x - 5y = -1
  2. Subtract Equations: Subtract the second equation from the first equation.\newline(2x+7y)(2x5y)=8(1)(2x + 7y) - (2x - 5y) = -8 - (-1)
  3. Perform Subtraction: Perform the subtraction on the left side of the equation. \newline2x+7y2x+5y=8+12x + 7y - 2x + 5y = -8 + 1
  4. Combine Like Terms: Combine like terms. \newline7y+5y=77y + 5y = -7\newline12y=712y = -7
  5. No 'xx' Term Left: There is no 'xx' term left after the subtraction, as they cancel each other out.
  6. Write Final Result: Write the final result of the subtraction.\newlineThe result of subtracting the second equation from the first is 12y=712y = -7.

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