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What is the result of subtracting the second equation from the first? {:[8x-4y=-4],[-3x+4y=5]:}

What is the result of subtracting the second equation from the first?\newline8x−4yamp;=−4−3x+4yamp;=5 \begin{aligned} 8 x-4 y & =-4 \\ -3 x+4 y & =5 \end{aligned}

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Full solution

Q. What is the result of subtracting the second equation from the first?\newline8x−4y=−4−3x+4y=5 \begin{aligned} 8 x-4 y & =-4 \\ -3 x+4 y & =5 \end{aligned}
  1. Write Equations: Write down the equations to be subtracted.\newlineFirst equation: 8x−4y=−48x - 4y = -4\newlineSecond equation: −3x+4y=5-3x + 4y = 5
  2. Subtract Equations: Subtract the second equation from the first equation.\newline(8x−4y)−(−3x+4y)=−4−5(8x - 4y) - (-3x + 4y) = -4 - 5
  3. Perform Subtraction: Perform the subtraction operation on the left side of the equation.\newline8x−4y+3x−4y=8x+3x−4y−4y8x - 4y + 3x - 4y = 8x + 3x - 4y - 4y
  4. Combine Like Terms: Combine like terms. 8x+3x−4y−4y=11x−8y8x + 3x - 4y - 4y = 11x - 8y
  5. Perform Subtraction: Perform the subtraction operation on the right side of the equation. −4−5=−9-4 - 5 = -9
  6. Write Result: Write down the result of the subtraction. 11x−8y=−911x - 8y = -9

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