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Solve. $\newline$ $3x + 8y = 4$ $\newline$ $x = 4$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

3x + 8y = 4

\newline

x = 4

\newline

(_____, _____)

Substitute $x = 4$ : Substitute $x = 4$ into the first equation $3x + 8y = 4$ . $\newline$ Calculation: $3(4) + 8y = 4$ $\newline$ $12 + 8y = 4$
Isolate variable term: Isolate the variable term $8y$ . $\newline$ Calculation: $12 + 8y - 12 = 4 - 12$ $\newline$ $8y = -8$
Solve for y: Solve for y. $\newline$ Calculation: $\frac{8y}{8} = \frac{-8}{8}$ $\newline$ y = $-1$
Find ordered pair: We found: $\newline$ $x = 4$ $\newline$ $y = -1$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 4$ and $y = -1$ into $(x, y)$ . $\newline$ The solution is $(4, -1)$ .

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant