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Solve using substitution.\newline7x−9y=−77x - 9y = -7\newliney=7y = 7\newline(_____, _____)

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Q. Solve using substitution.\newline7x−9y=−77x - 9y = -7\newliney=7y = 7\newline(_____, _____)
  1. Identify Equations & Method: Identify the given equations and the method to solve them.\newlineWe are given a system of equations:\newline7x−9y=−77x − 9y = −7\newliney=7y = 7\newlineWe can use substitution to solve this system since one equation is already solved for yy.
  2. Substitute & Simplify: Substitute the value of yy from the second equation into the first equation.\newlineSubstitute y=7y = 7 into 7x−9y=−77x − 9y = −7 to get:\newline7x−9(7)=−77x − 9(7) = −7
  3. Solve for x: Simplify the equation and solve for x.\newline7x−63=−77x - 63 = -7\newlineAdd 6363 to both sides to isolate the term with x:\newline7x=−7+637x = -7 + 63\newline7x=567x = 56\newlineNow, divide both sides by 77 to solve for x:\newlinex=567x = \frac{56}{7}\newlinex=8x = 8
  4. Write Ordered Pair: Write the solution as an ordered pair.\newlineSince y=7y = 7 and we found x=8x = 8, the solution to the system of equations is (8,7)(8, 7).

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