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
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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.
