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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x - 3y = 4

\newline

x = -8

\newline

(_____, _____)

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

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