It takes a printer 6 hours to print the class schedules for all of the students in a college. A faster printer can do the job in
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Answer:
Step-by-step explanation:
Answer:
The length of rectangle is 8 unit
The width of rectangle is 48 unit
The Area of rectangle is 384 unit²
Step-by-step explanation:
Given as :
The perimeter of rectangle = P = 112 unit
The width is 6 times the length
Let The length of rectangle = L unit
Let The width of rectangle = W unit
So, W = 6 × L .........1
Let The Area of rectangle = A unit²
<u>Now, According to question </u>
∵ Perimeter of rectangle = 2 × Length + 2 × Breadth
Or, P = 2 × L + 2 × W
Or, 112 = 2 × L + 2 × 6 × L (from eq 1 )
Or, 112 = 2 × L + 12 × L
Or, 112 = 14 L
∴ L =
i.e L = 8
So, The length of rectangle = L = 8 unit
Put the value of L into eq 1
∵ W = 6 × L
So, W = 6 × 8
i.e W = 48
So, The width of rectangle = W = 48 unit
<u>Again</u>
∵ The Area of rectangle = (Length × Width) unit²
Or, A = L× W
Or, A = 8 × 48
i.e A = 384 unit²
So, The Area of rectangle = A = 384 unit²
Hence , The length of rectangle is 8 unit
The width of rectangle is 48 unit
The Area of rectangle is 384 unit² Answer
Solution to a system of equation is values of variables true for all equations of that system.The x-value of solution to the given system is 2
<h3>How to find the solution to the given system of equation?</h3>For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>Suppose the given points are and
, the n the equation of the straight line joining both two points is given by
The first equation is
Since the second equation of line contains points given, let we consider two points,
Then, the equation of line is found as:
Thus, the system of equations is
From second equation, getting y in terms of x(since its easy as y has 1 as coefficient), we get:
Putting this value of y in first equation, we get:
Putting this value of x in expression for y, we get:
Thus, the solution to the system of equations obtained is (x,y) = (2,-1)
Thus, The x-value of solution to the given system is 2
Learn more about system of equations here: