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Solve. $\newline$ $2x - y = -6$ $\newline$ $x = 2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

2x - y = -6

\newline

x = 2

\newline

(_____, _____)

Substitute $x = 2$ : Substitute $x = 2$ into the first equation $2x - y = -6$ . $\newline$ Calculation: $2(2) - y = -6$ $\newline$ $4 - y = -6$
Isolate variable $y$ : Isolate the variable $y$ . $\newline$ Calculation: $4 - y - 4 = -6 - 4$ $\newline$ $-y = -10$
Solve for y: Solve for y by multiplying both sides by $-1$ . $\newline$ Calculation: $-y \times -1 = -10 \times -1$ $\newline$ y = $10$
Find ordered pair: We found: $\newline$ $x = 2$ $\newline$ $y = 10$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 2$ and $y = 10$ in $(x, y)$ . $\newline$ The solution is $(2, 10)$ .

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