THE SOLUTIONS OF A SYSTEM OF EQUATIONS
A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.
A system of two linear equations in two unknowns might look like
This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.
Answer:
The answer is the 59 gallons per 13 minutes.
Step-by-step explanation:
the first tank is filling at a rate of 175 gallons per hour because 60/12 is 5 and 35*5 is 175. the second tank is filling at a rate of 272.3 gallons per hour because 60/13 is 4.6 and 59*4.6 is 272.3
#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.

Extraneous root in this case is positive four since +4≠-4
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</span>In this case it's negative 3, since -3≠3
#29 can be turned into a quadratic equation.

Square both sides to get

Then bring the 2x+3 to the other side, setting the quadratic equal to zero.

Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
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</span>Extraneous root would be negative 3.
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</span>Extraneous root would be positive 1.
Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.