Solve the equation: 5 ( x - 2) + 4 ( 3 + x) = 20
2 answers:
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Answer:
The base and height of the garden are 4.60 ft and 5.60 ft.
Step-by-step explanation:
The area of the garden is, <em>A</em> = 24 ft².
The base height of the garden are:
base (<em>b</em>) = 6x - 4
height (<em>h</em>) = x + 3
Compute the value of <em>x</em> as follows:
The last equation is a quadratic equation.
Compute the roots of the quadratic equation as follows:
The value of base and height are:
Thus, the base and height of the garden are 4.60 ft and 5.60 ft.
Let numbers of books be 'b' and numbers of CDs be 'c'
We can set up two equations:
Equation [1] ⇒
Equation [2] ⇒
We are solving for the number of books and the number of CDs bought
When we have two equations in terms of two different variables;
and 
, that we need to solve, then this becomes a simultaneous equation problem.
First, rearrange Equation [1] to make either or the subject:
Then we substitute into Equation [2]
Now we know the value of which is , substitute this value into we have 
Answer:
Numbers of books = 13
Numbers of CDs = 7
We can set up two equations:
Equation [1] ⇒
Equation [2] ⇒
We are solving for the number of books and the number of CDs bought
When we have two equations in terms of two different variables;
First, rearrange Equation [1] to make either
Then we substitute
Now we know the value of
Answer:
Numbers of books = 13
Numbers of CDs = 7
Answer:
and
Step-by-step explanation:
Given:
The rational equation to solve is given as:
We use the cross multiplication rule and multiply the numerators one side with the denominators of the other side. Therefore,
Now, for , the rational equation is equal to 0. So,
is a solution.
Also, is also a solution as the equation's denominator is defined at that point.
So, no extraneous solution.