5x - 3y = 11 ⇒ 5x - 3y = 11 ⇒ 5x - 3y = 11
x - 2y = 2 ⇒ -5(x - 3y) = 2 ⇒ <u>-5x + 15y = 2</u>
<u>12y</u> = <u>13</u>
12 12
y = 1 1/12
5x - 3(1 1/12) = 11
5x - 3 1/4 = 11
<u> +3 1/4 +3 1/4</u>
<u> 5x</u> = <u>14 1/4</u>
5 5
x = 2 17/20
(x, y) = (2 17/20, 1 1/12)
Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

We can solve the linear equation by isolating the "x" variable on the left side.

Marco's travel must be shorter or equal to 92 miles.
Answer: 
Step-by-step explanation:
For this exercise it is necessary to remember the following:
1) The Distributive Property states the following:

2) The multiplication of signs:

Knowing this, and having the following expression given in the exercise:

You can apply the Distributive property multiplying
and
, which are inside the parentheses, by
.
So, you get the following result:

Answer:
1.Factor numerator and denominator
2.reduce the fraction
3.rewrite any remaining expressions in the numerator an denominator
Step-by-step explanation: