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Solve. $\newline$ $y = 4$ $\newline$ $9x + 4y = 7$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 4

\newline

9x + 4y = 7

\newline

(_____, _____)

Substitute $y = 4$ : Substitute $y = 4$ into the equation $9x + 4y = 7$ and then simplify. $\newline$ Substitute $4$ for $y$ in $9x + 4y = 7$ . $\newline$ $9x + 4(4) = 7$ $\newline$ $9x + 16 = 7$
Isolate variable term: Isolate the variable term. $\newline$ Subtract $16$ from both sides of the equation to isolate the term with $x$ . $\newline$ $9x + 16 - 16 = 7 - 16$ $\newline$ $9x = -9$
Solve for x: Solve for x. $\newline$ Divide both sides by $9$ to find the value of x. $\newline$ $\frac{9x}{9} = \frac{-9}{9}$ $\newline$ $x = -1$
Find ordered pair: We found: $\newline$ $x = -1$ $\newline$ $y = 4$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -1$ and $y = 4$ into $(x, y)$ . $\newline$ The solution is $(-1, 4)$ .

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