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koban [17]
3 years ago
9

The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls

. Write an equation that represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
Mathematics
1 answer:
prisoha [69]3 years ago
5 0

$1.00c + $2.50t = $105

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Solve for 2:<br> 7x + 156°<br> 9x + 184°
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Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

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156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

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Combine like terms: 184 + -156 = 28

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Simplifying

x = -14

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Answer:

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