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Solve using substitution.\newline−10x−7y=−7-10x - 7y = -7\newlinex=7x = 7\newline(_____, _____)

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Q. Solve using substitution.\newline−10x−7y=−7-10x - 7y = -7\newlinex=7x = 7\newline(_____, _____)
  1. Substitute xx in first equation: Substitute the value of xx into the first equation.\newlineSince we know that x=7x = 7, we can substitute 77 in place of xx in the equation –10x−7y=–7–10x − 7y = –7.\newlineThis gives us: –10(7)−7y=–7–10(7) − 7y = –7.
  2. Simplify after substitution: Simplify the equation after substitution.\newlineNow we calculate −10×7-10 \times 7, which is −70-70.\newlineSo the equation becomes: −70−7y=−7-70 - 7y = -7.
  3. Isolate variable y: Isolate the variable y.\newlineTo find the value of y, we need to isolate y on one side of the equation. We do this by adding 7070 to both sides of the equation.\newlineThis gives us: −70+70−7y=−7+70-70 + 70 - 7y = -7 + 70.
  4. Simplify after adding 7070: Simplify the equation after adding 7070 to both sides.\newlineThe equation now simplifies to: −7y=63-7y = 63.
  5. Solve for y: Solve for y.\newlineTo solve for y, we divide both sides of the equation by –7–7.\newlineThis gives us: y=63(–7)y = \frac{63}{(–7)}.
  6. Calculate y value: Calculate the value of y.\newlineDividing 6363 by −7-7 gives us y=−9y = -9.
  7. Write solution as ordered pair: Write the solution as an ordered pair.\newlineSince we have found the values of xx and yy, we can write the solution as an ordered pair (x,y)(x, y).\newlineThe final answer is (7,−9)(7, -9).

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