o bicicleta si un calculator costa impreuna 3708 lei iar un televizor si un calculator costa impreuna 14298 lei .care este diferenta de pret dintre o bicicleta si un televizor?dau coroana


Respuesta :

The question in English is

A bicycle and a computer cost 3708 lions together, and a TV and a computer cost a total of 14298 lions. What is the difference in price between a bicycle and a TV?

Let

x-------> the cost of a bicycle

y-------> the cost of a TV

z-------> the cost of a computer

we know that

[tex]x+z=3,708[/tex] ------> equation A

[tex]y+z=14,298[/tex] ------> equation B

Subtract equation A from equation B

[tex](y+z)-(x+z)=14,298-3,708[/tex]

[tex]y+z-x-z=10,590[/tex]

[tex]y-x=10,590[/tex]

therefore

the answer is

the difference in price between a bicycle and a TV is [tex]10,590\ lions[/tex]

The difference in price between a bicycle and a TV is [tex]\fbox{\begin\\\ \bf 10,590\text{ lions}\\\end{minispace}}[/tex].

Further explanation:  

A linear equation of two variables is an equation of two variables of degree [tex]1[/tex].

Given:

The cost of a bicycle and a computer together is [tex]3,708\text{ lions}[/tex] and the cost of a TV and a computer together is [tex]14,298\text{ lions}[/tex].

Step 1:

First we, write the given statement in the form of equation.

Consider [tex]x[/tex] as the cost of a bicycle, [tex]y[/tex] as the cost of a TV, [tex]z[/tex] as the cost of a computer.

The cost of a bicycle and a computer together is [tex]3,708\text{ lions}[/tex].

Therefore, the statement can be expressed in the form of the equation as,

[tex]\boxed{x+z=3708}[/tex]     …… (1)

The cost of a TV and a computer together is [tex]14,298\text{ lions}[/tex].

Therefore, the statement can be expressed in the form of the equation as,

[tex]\boxed{y+z=14298}[/tex]      …… (2)

Step 2:

Now we calculate the difference between the price of a bicycle and a TV.

Subtract the equation (1) from equation (2).

[tex]\begin{aligned}y+z-(x+z)&=14298-3708\\y+z-x-z&=10590\\y-x&=10590\end{aligned}[/tex]  

Therefore, the difference in price between a bicycle and a TV is [tex]\fbox{\begin\\\ \bf 10,590\text{ lions}\\\end{minispace}}[/tex].

Learn more:  

1. A problem on linear equation https://brainly.com/question/1473992

2. A problem on Algebraic expression for the word phrase https://brainly.com/question/1600376

3. A problem on simple equation https://brainly.com/question/1682776

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Linear equation  

Keywords: Variable, constant, bicycle, computer, TV, difference, price, cost, equation, linear form, binomial, bicicleta, televizor, impreuna.

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