Question

read the instructions first and answer the questions

Answer 1

Answer:

Q1:-

3x+4y=205 and 2x+3y=145

are the two equations that can be used to determine the price of each flower pot.

Q2:-

There are unknown quantities in the given situations . They are the cost of Large and small flower pots .

So they are System of linear equation in two variables.

Q3:-

The Cost of Large flower pot=Php.35

The Cost of small flower pot=Php.25

So the solution=(35,25)

The required order pair =(35,25)

Answer 2

Answer :- 1

The two equations are

$\bf \:3x + 4y = 205 \: ⟶ \: (1)$

$\bf \:2x + 3y = 145 \: ⟶ \: (2)$

Answer :- 2.

Yes, its a system of linear equations because a system of linear equations is just a set of two or more linear equations.

Answer :- 3.

The ordered pair is (35, 25).

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Step by step explanation

Let 'x' represents the price of large pot and 'y' represents the price of small pot.

Situation:- 1.

Store sell 3 large pots and 4 small pots for Php205.

$\bf\implies \:3x + 4y = 205 \: ⟶ \: (1)$

Situation:- 2.

Store sell 2 large pots and 3 small pots for Php145.

$\bf\implies \:2x + 3y = 145 \: ⟶ \: (2)$

Multiply (1) by 2 and (2) by 3, we get

$\bf\implies \:6x + 8y = 410 \: ⟶ \: (3)$

$\bf\implies \:6x + 9y = 435 \: ⟶ \: (4)$

On substracting (3) from (4), we get

$\bf\implies \:6x + 9y - 6x - 8y = 435 - 410$

$\bf\implies \:y = 25 \: ⟶ \: (5)$

On substituting (5) in equation (2), we get

$\bf\implies \:2x + 3 \times 25 = 145$

$\bf\implies \:2x + 75 = 145$

$\bf\implies \:2x = 145 - 75$

$\bf\implies \:2x = 70$

$\bf\implies \:x = 35$

$\bf\implies \:Price \: of \: large \: pot = Php35$

$\bf\implies \:Price \: of \: small \: pot = Php25$

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