Solve the System by Using the Inverse of the Coefficient $$\begin{array} { c } - 3 x _ { 1 } - 2 x _ { 2 } = 2 \\6 x _ { 1 } + 4 x _ { 2 } = 8\end{array}$$

question 73

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $$\begin{array} { c } - 3 x _ { 1 } - 2 x _ { 2 } = 2 \\6 x _ { 1 } + 4 x _ { 2 } = 8\end{array}$$

• A) \(( - 2 , - 2 )\)
• B) \(\left( - \frac { 2 } { 3 } + \frac { 3 } { 2 } x _ { 2 } , x _ { 2 } \right)\)
• C) \(( 2,8 )\)
• D) No solution

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Definitions:

Income Elasticity

A measure of how much the quantity demanded of a good responds to a change in consumers' income, holding all other factors constant.

Expenditures Decline

A situation where there is a reduction in spending by individuals, businesses, or governments.

Elastic Demand

A condition where the demand for a product is significantly responsive to changes in its price.

Inelastic Demand

Describes a situation in which the demand for a product does not significantly change with a change in price.