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Solve using substitution. $\newline$ $y = 9$ $\newline$ $–7x + 9y = 11$ $\newline$ (_, _)

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Solve a system of equations using substitution

Full solution

Q. Solve using substitution.

\newline

y = 9

\newline

–7x + 9y = 11

\newline

(_____, _____)

Substitute $y = 9$ : Substitute $y = 9$ into the second equation. $\newline$ We are given $y = 9$ and the equation $–7x + 9y = 11$ . We will substitute $9$ for $y$ in the second equation. $\newline$ $–7x + 9(9) = 11$ $\newline$ $–7x + 81 = 11$
Isolate variable term $x$ : Isolate the variable term $x$ . Now we need to solve for $x$ by isolating the variable on one side of the equation. $–7x + 81 - 81 = 11 - 81$ $–7x = -70$
Solve for x: Solve for x. $\newline$ Divide both sides of the equation by $-7$ to find the value of $x$ . $\newline$ $\frac{-7x}{-7} = \frac{-70}{-7}$ $\newline$ $x = 10$
Write solution as ordered pair: Write the solution as an ordered pair. $\newline$ We have found $x = 10$ and we were given $y = 9$ . The solution in the form of an ordered pair is $(x, y)$ . $\newline$ The solution is $(10, 9)$ .

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