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28 July, 07:39

When solving systems of we have at least two unknowns. A common example of a system of equations is a mixture problem. If I know that the solution I use to clean my car windows is 65% water and 35% cleaner, I have one relationship. If I also know that I only have a 3-liter spray bottle that gives me a second relationship. What do the unknowns in this system represent and what are the two equations that that need to be solved? Finally, solve the system of equations.

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  1. 28 July, 08:50
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    The amount of water in 3 liter spray is 1.95 liter and the amount of cleaner is 1.05 liter ...

    Step-by-step explanation:

    Let x be the number of liters of water

    Let y be the number of liters of cleanser

    Then the first equation we get is:

    x+y = t

    where t is the total number of liters

    And we have given that 3-liter spray bottle gives a second relationship.

    It means t=3 (second equation)

    These two equations will be solved simultaneously:

    Put the value t=3 in first equation:

    x+y = t

    x+y = 3

    We know that we have x = 0.65t and y = 0.35t.

    Replace t with 3

    x=0.65 (3)

    x = 1.95

    y=0.35 (3)

    y=1.05

    Thus the amount of water in 3 liter spray is 1.95 liter and the amount of cleaner is 1.05 liter ...
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