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 u

Tahmid Knox 2020-11-16 Answered
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.
Finally, solve the system of equations
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Expert Answer

Layton
Answered 2020-11-17 Author has 89 answers

Let x be the number of liters of water and y be the number of liters of cleaner.
Then the first equation is
x+y=t
where t is total number of liters
Also given that t=3.
These are 2 equations that need to be solved simultaneously.
Replace t in the first equation with t=3 from the second equation
x+y=3
It is given that x=0.65t and y=0.35t.
Replace t with 3 and the equations becomes
x=0.65×3and y=0.35×3
solve for x and y to get x=1.95 and y=1.05
The amount of water in the 3 liter spray bottle is 1.95 liters.
The amount of cleaner in the 3 liter spray bottle is 1.05 liters.

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