Solve the System of Equations by the Substitution Method $\left\{ \begin{array} { r } x + y = - 2 \\y = - 2 x\end{array} \right.$

question 66

Multiple Choice

Solve the system of equations by the substitution method.
- $\left\{ \begin{array} { r } x + y = - 2 \\y = - 2 x\end{array} \right.$

• A) \(( - 4,2 )\)
• B) infinite number of solutions
• C) no solution
• D) \(( 2 , - 4 )\)

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Definitions:

Proportional

Referring to a relationship where changes in one item directly mirror changes in another, often expressed as a constant ratio.

Tax System

The legal framework and mechanisms through which taxes are imposed on individuals, corporations, and transactions in a country, shaping the distribution of tax burdens.

Deadweight Losses

Economic inefficiencies that occur when the free market equilibrium is disturbed, resulting in a loss of economic value, often due to taxes, subsidies, or price controls.

Administrative Burdens

The costs and obstacles associated with compliance to legal and regulatory requirements by businesses or individuals.