Solve the System by Using the Elimination-By- Addition Method $$\left( \begin{array} { c c c c } x &-& 9 y & = & 62 \\2 x& + &8 y & = & - 58\end{array} \right)$$

question 40

Short Answer

Solve the system by using the elimination-by- addition method. $$\left( \begin{array} { c c c c } x &-& 9 y & = & 62 \\2 x& + &8 y & = & - 58\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent . Otherwise, enter your answer as an ordered pair ( x , y ).

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Definitions:

Method of Substitution

A technique used to solve systems of equations by solving one equation for one variable and then substituting that expression into the other equation(s).

System of Equations

A set of equations with the same variables, where the solution is the set of values that satisfies all equations simultaneously.

Hyperbola

A type of smooth curve lying in a plane, defined by its geometric properties or by equations that satisfy its definition, characterized by two branches mirrored across the axis or center.

Standard Form

A way of writing equations in a specific order, often used in mathematics to simplify expressions or solve equations.