Solve the System of Equations $\left\{ \begin{array} { r } 3 x + 2 y = 8 \\x - 2 y = 0\end{array} \right.$

question 65

Essay

Solve the system of equations $\left\{ \begin{array} { r } 3 x + 2 y = 8 \\x - 2 y = 0\end{array} \right.$
by converting to a matrix equation and using its inverse coefficient matrix $\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \\\frac { 1 } { 3 } & - \frac { 3 } { 3 }\end{array} \right]$ .

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Definitions:

Trough

A Trough in economics is a phase in the business cycle where activity is at its lowest point, preceding a recovery and expansion phase.

Business Cycle

The Business Cycle is the fluctuation of economic activity that an economy experiences over a period of time, marked by phases of expansion and contraction.

Recovery Phase

A stage in the economic cycle where activity starts to increase again after a downturn, leading to improvements in employment, consumer confidence, and spending.

Recessionary Phase

A period in the business cycle where the economy is contracting, leading to reduced economic activity and increased unemployment.