Combine the following equations into a system: 2x + 9y = -14, 4x - 3y = -7.

Question

Вопрос:

Combine the following equations into a system: 2x + 9y = -14, 4x - 3y = -7.

Ответ:

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Accepted Answer

The task is to represent the given pair of linear equations as a system.

Key concept: A system of equations is a set of two or more equations that are considered together. It is typically used to solve for multiple variables simultaneously.

System of Equations:

The given equations are:

Equation 1: \( 2x + 9y = -14 \)
Equation 2: \( 4x - 3y = -7 \)

To represent these as a system, we use a brace \( \{ \) to group them together.

The system of equations is:

\( \begin{cases} 2x + 9y = -14 \\ 4x - 3y = -7 \end{cases} \)