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

question 415

Multiple Choice

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

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

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Definitions:

Preoperational Thinking

A stage in Piaget's theory of cognitive development where children from 2 to 7 years old engage in symbolic play but lack operations (logical rules).

Zone Of Proximal Development

The difference between what a learner can do without help and what they can achieve with guidance and encouragement from a skilled partner.

Neo-Piagetians

Developmentalists who have elaborated on Piaget’s theory, believing that children’s cognitive development is more specific in many respects than Piaget thought and giving more emphasis to how children use memory, attention, and strategies to process information.

Zone Of Proximal Development

A concept in Vygotsky's theory that represents the difference between what a learner can do without help and what they can achieve with guidance and encouragement from a skilled partner.