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What is the result of subtracting the second equation from the first? {:[-3x+2y=7],[-3x-2y=4]:}

What is the result of subtracting the second equation from the first?\newline−3x+2y=7−3x−2y=4 \begin{array}{l} -3 x+2 y=7 \\ -3 x-2 y=4 \end{array}

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Full solution

Q. What is the result of subtracting the second equation from the first?\newline−3x+2y=7−3x−2y=4 \begin{array}{l} -3 x+2 y=7 \\ -3 x-2 y=4 \end{array}
  1. Identify operation to combine: Identify the operation to combine the equations. In this case, we subtract the second equation from the first to eliminate 'yy'.
  2. Subtract second equation: Subtract the second equation from the first. (−3x+2y)−(−3x−2y)=7−4(-3x + 2y) - (-3x - 2y) = 7 - 4
  3. Perform subtraction on left side: Perform the subtraction on the left side of the equation. −3x+2y+3x+2y=4y-3x + 2y + 3x + 2y = 4y
  4. Perform subtraction on right side: Perform the subtraction on the right side of the equation. 7−4=37 - 4 = 3
  5. Combine results to form new equation: Combine the results to form the new equation. 4y=34y = 3
  6. Check if new equation makes sense: Check if the new equation makes sense. Since we have eliminated 'xx' and are left with a single variable equation, it is correct.

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