Afruit stand has to decide what to charge for their produce. they need $ 5 $5 for 1 1 apple and 1 1 orange. they also need $ 1 5 $15 for 3 3 apples and 3 3 oranges. put this information into a system of linear equations.

ANSWER: (C.) No; the system has many solutions.

Step-by-step explanation: Cost of an apple: x

Cost of an orange: y

Equation 1:

x + y = 5

Change to slope-intercept form y = mx + b:

y = 5 - x  or y = -x + 5 (Equation 1)

Equation 2:

3x + 3y = 15

Check if they are parallel (no solution) or coinciding/overlapping (many solution) by changing Equation 2 to slope intercept form y = mx + b:

3x + 3y = 15

3y = 15 - 3x

Divide each term by their greatest common factor (GCF) 5:

3y/3 = 15/3 - 3x/3

y = 5 - x  or  y = -x + 5  (Equation 2)

Note that the two equations are the same in simplest form of y=mx + b.  Therefore, they have the same slope -1 and y-intercept of 5.  

If the system has the same slope and y-intercept, then it is coinciding, consistent and dependent. When you graph the two equations, they are overlapping or graphed on the same line. Therefore, it has many or infinite solutions.

step-by-step explanation:

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the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.