shyenneslade04
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please help me

A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the cost of one chair, represents this situation. Plug in the values from the set {50, 100, 150} to find the correct value of x.



The value of x that makes the equation true is(50,100,or 150) So, the cost of a chair is($50,$100,or $150)
and the cost of a table is ($50,$100,or $150)
                           

Respuesta :

kahzayn
6x + x + 50 = 750

7x + 50 = 750

7x = 750 - 50

7x = 700

x = 700/7

x = 100
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Answer:

x = 100

Step-by-step explanation:

The question is to determine which of the three values given is the one that corresponds to "x".

The solution is found by solving the given equation,

6x + x + 50 = 750

Adding the "x",

7x + 50 = 750

Isolating "x",

7x = 750 - 50

7x = 700

x = 700/7

x = 100

So the correct value of "x" is 100, which can be checked by substituting this value in the equation,

7x + 50 = 750

7 (100) + 50 = 750

700 + 50 = 750

750 = 750 equality is fulfilled.

On the other hand, equality is not met with the other two values,

Assuming x = 50

7x + 50 = 750

7 (50) + 50 = 750

350 + 50 = 750

400 = 750 equality is not met.

Assuming x = 150

7x + 50 = 750

7 (150) + 50 = 750

1050 + 50 = 750

1100 = 750 equality is not met.

The correct value is x = 100

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