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Solve using elimination.\newline7x+7y=147x + 7y = 14\newline10x+7y=−710x + 7y = -7\newline(_____, _____)

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Q. Solve using elimination.\newline7x+7y=147x + 7y = 14\newline10x+7y=−710x + 7y = -7\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline7x+7y=147x + 7y = 14\newline10x+7y=−710x + 7y = -7
  2. Eliminate Variable: To use elimination, we need to eliminate one variable. We can subtract the second equation from the first equation to eliminate the yy variable.\newline(7x+7y)−(10x+7y)=14−(–7)(7x + 7y) - (10x + 7y) = 14 - (–7)
  3. Subtract Equations: Perform the subtraction to eliminate the yy variable.\newline7x−10x+7y−7y=14+77x - 10x + 7y - 7y = 14 + 7\newline−3x=21-3x = 21
  4. Solve for x: Solve for x by dividing both sides of the equation by -3＂).\(\newline\$-3x / -3 = 21 / -3\)\(\newline\)\(x = -7\)
  5. Substitute \(x\): Now that we have the value of \(x\), we can substitute it back into one of the original equations to solve for \(y\). We'll use the first equation.\[7(-7) + 7y = 14\]\[-49 + 7y = 14\]
  6. Isolate y: Add \(49\) to both sides of the equation to isolate the \(y\) term.\(\newline\)\(-49 + 49 + 7y = 14 + 49\)\(\newline\)\(7y = 63\)
  7. Solve for y: Divide both sides of the equation by \(7\) to solve for y.\(\newline\)\(\frac{7y}{7} = \frac{63}{7}\)\(\newline\)\(y = 9\)

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