The cost of one table = 165$
the cost of two chairs = 250$
"It is a statement which consists of equal symbol between two mathematical expressions."
"A system of equations is a finite set of equations for which we find the common solution."
For given example,
We have been given that, cost of two tables and three chairs is 705$
Let x: cost of chair
y: cost of table
Since the cost of two tables and three chairs is 705$, we can write it in the equation form as,
⇒ 3x + 2y = 705 ........................(1)
Also, the table costs 40$ more than the chair.
⇒ y = x + 40 .........................(2)
So, we solve the system of equations to find the cost of each table and table.
Substitute y = x + 40 in equation (1),
⇒ 3x + 2y = 705
⇒ 3x + 2(x + 40) = 705
⇒ 3x + 2x + 80 = 705
⇒ 5x +80 - 80 = 705 - 80
⇒ x = 625/5
⇒ x = 125 .........................(3)
Substitute x = 125 in equation (2),
⇒ y = x + 40
⇒ y = 125 + 40
⇒ y = 165
So, the solution of the system of equations is x = 125, y = 165.
Therefore, the cost of single chair is x = 125$ and the cost of single table is y = 165$
We need to find the cost of two chairs
= 2 × x
= 2 × 125
= 250$
Therefore, the cost of one table is 165$ and the cost of two chairs is 250$
Learn more about system of equations here:
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