Solve the System for X and Y Using Cramerʹs Rule $$a x + y = \frac { 1 } { a }$$

question 12

Multiple Choice

Solve the system for x and y using Cramerʹs rule. Assume a and b are nonzero constants.
- $$a x + y = \frac { 1 } { a }$$
$$b x + y = \frac { 1 } { b }$$

• A) \(\left\{ \left( \frac { 1 } { a b } , \frac { a - b } { a b } \right) \right\}\)
• B) \(\left\{ \left( \frac { 1 } { a b } , a + b \right) \right\}\)
• C) \(\left\{ \left( - \frac { 1 } { a b } , \frac { a + b } { a b } \right) \right\}\)
• D) \(\left\{ \left( - \frac { 1 } { a b } , \frac { b - a } { a b } \right) \right\}\)

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Definitions:

Alberti

Leon Battista Alberti, a Renaissance humanist polymath who contributed significantly to architecture, theory, and the arts in 15th-century Italy.

Facade

Usually, the front of a building; also, the other sides when they are emphasized architecturally.

Contrapposto

An art term describing a human figure standing with most of its weight on one foot, such that its shoulders and arms twist off-axis from the hips and legs, giving the figure a more dynamic, or relaxed appearance.

Quattrocento

Italian, “400”—that is, the 15th century (the 1400s) in Italy.