What is the solution to the system shown here? x + y ≥ 5 x + y ≤ 5 no solution points in shaded area between two parallel lines
points on a line points on one side of one of the lines
2 answers:
Answer:
The solution to the system of equation is:
Points on a line (x +y =5)
Step-by-step explanation:
We are asked to find the solution of the system of equations as:
x + y ≥ 5
and x + y ≤ 5.
Clearly from the equation we could observe that both the inequalities are similar there is just a change of the sign in the inequality.
one has ≤ sign and the other has ≥ sign.
Hence the common region is:
x + y =5.
Hence, The solution to the system of equation is:
Points on a line (x +y =5)
Hence, the common region will be a straight line with x-intercept at (5,0) and x-intercept of the line at (0,5).
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
Length = 8 inch , Width = , This equation models the situation
Step-by-step explanation:
Given as ;
The Area of Rectangle is 12 inches²
The Length of Rectangle is 5 inches longer than twice the width
Let The Length = L inches
The Width = W inches
According to question ,
L = 5 + (2 × w )
∵ The Area of Rectangle = Length × width
Or, 12 inches² = [ 5 + (2 × w ) ] × w
Or, 12 inches² = 5 w +2 w²
Or, 2 w² + 5 w - 12 = 0
Or, 2 w² + 8 w -3 w - 12 = 0
Or, 2 w (w +4) - 3 (w + 4) = 0
I.e (w + 4) ( 2 w - 3) = 0
So , w = -4 , and w =
∴ Length = 5 + (2 × w ) =
Length = 5 + (2 × )
so , L = 5 + 3 = 8
Hence Length = 8 inch , Width = This equation models the situation Answer