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Solve. $\newline$ $y = 7$ $\newline$ $9x - 5y = 10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 7

\newline

9x - 5y = 10

\newline

(_____, _____)

Substitute $y = 7$ : Substitute $y = 7$ into the equation $9x − 5y = 10$ and then simplify. $\newline$ Substitute $7$ for $y$ in $9x − 5y = 10$ . $\newline$ $9x - 5(7) = 10$
Simplify with substitution: Simplify the equation by multiplying $5$ by $7$ . $9x - 35 = 10$
Isolate variable term: Isolate the variable term by adding $35$ to both sides of the equation. $\newline$ $9x - 35 + 35 = 10 + 35$ $\newline$ $9x = 45$
Solve for x: Solve for x by dividing both sides of the equation by $9$ . $\newline$ $\frac{9x}{9} = \frac{45}{9}$ $\newline$ $x = 5$
Final solution: We found: $\newline$ $x = 5$ $\newline$ $y = 7$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 5$ and $y = 7$ into $(x, y)$ . $\newline$ The solution is $(5, 7)$ .

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