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Grade 9 Mathematics

IW 4

(Cycles 9 - 11)

(Cycles 9 - 11)

Grade 9 Mathematics

IW 4

(Cycles 9 - 11)

(Cycles 9 - 11)

**SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES**

Ever since Archimedes jumped out of the tub shouting, “Eureka!”, students in science have known how to use Archimedes’ fluid displacement principle relating the mass of an object to its volume. The relationship enabled Archimedes to prove that his King’s “gold” crown was a forgery.

Guide Card

Grade 9 Mathematics

IW4

SY 2022 - 2023

IW4

SY 2022 - 2023

Archimedes in bathtub. (2022). TheSchoolRun.com. Retrieved November 11, 2022, from https://www.theschoolrun.com/homework-help/archimedes.

**SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES**

Ever since Archimedes jumped out of the tub shouting, “Eureka!”, students in science have known how to use Archimedes’ fluid displacement principle relating the mass of an object to its volume. The relationship enabled Archimedes to prove that his King’s “gold” crown was a forgery.

Guide Card

Grade 9 Mathematics

IW4

SY 2022 - 2023

IW4

SY 2022 - 2023

Archimedes in bathtub. (2022). TheSchoolRun.com. Retrieved November 11, 2022, from https://www.theschoolrun.com/homework-help/archimedes.

**Grade 9 Mathematics**

**IW 4 (Cycles 9-11)**

**Guide Card SY 2022 - 2023**

A suspicion that a “gold” crown contained some silver was verified by using a system of linear equations. The crown was found to weigh 45 ounces with a volume of 5 cubic inches. Gold weighs 11 ounces per cubic inch while silver weighs 6 ounces per cubic inch. Is there silver mixed with the gold, and if so, how much? Representing the volume of gold per cubic inch as x and the volume of silver per cubic inch as y, the given situation was expressed as the system of equations, as follows:

The values of x and y were solved and it was found out that indeed the crown was not of pure gold.

In this session, we will learn about

(Source: Worktext in Mathematics for Second Year High School by Oronce, Orlando)

In this session, we will learn about

**Systems of Linear Equations in Two Variables**: how they are solved and how they are used in real-life situations. Study this topic first before doing the activity card. You may read**pp. 264-274**of your text book last year or any other reference with this topic.(Source: Worktext in Mathematics for Second Year High School by Oronce, Orlando)