Solve the System by Using Any Method $$\begin{array} { l } 3 x + 1 = 1 - 4 y \\- 2 + 5 ( x + y ) = 4 y - 2\end{array}$$

question 189

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } 3 x + 1 = 1 - 4 y \\- 2 + 5 ( x + y ) = 4 y - 2\end{array}$$

• A) \(\left\{ \left( 1 , - \frac { 3 } { 4 } \right) \right\}\)
• B) \(\{ ( 0,0 ) \}\)
• C){ } ; The system is inconsistent
• D) \(\{ ( x , y ) \mid 3 x = - 4 y \}\); The equations are dependent.

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Definitions:

Degrees Fahrenheit

Degrees Fahrenheit is a unit of temperature where water freezes at 32 degrees and boils at 212 degrees under standard atmospheric conditions.

Mixture

A substance made by combining two or more different materials without chemical bonding or other chemical changes, so that each material retains its own properties.

Pounds

A unit of weight commonly used in the United States and the British imperial system, equivalent to 0.453592 kilograms.

Consistent

In the context of systems of equations, a property indicating that the system has at least one solution.