Answer:
3y
Step-by-step explanation:
Answer:
Option F
Step-by-step explanation:
F). x + y = 3 -------(1)
x - 3y = -2 --------(2)
Equation (1) minus equation (2)
(x + y) - (x - 3y) = 3 - (-2)
4y = 5
y = 1.25
Hence, y is positive.
G). x + y = 3 --------(1)
x + y = -2 --------(2)
Both the equations represent parallel lines.
There are no solutions of the given equations.
H). x - 3y = -2 -------(1)
x + y = -2 -------(2)
Equation (2) minus equation (1)
(x + y) - (x - 3y) = -2 - (-2)
4y = 0
y = 0
Since, 0 is neither positive nor negative, y will be neither positive nor negative.
J). x + y = 3 -------(1)
x - y = 3 --------(2)
Equation (1) - Equation (2)
(x + y) - (x - y) = 3 - 3
2y = 0
Hence, y is neither negative nor positive.
Therefore, Option F is the answer.
Answer:
28
Step-by-step explanation:
2x + 7 = 4x - 7
14 = 2x
x = 7
BC = 4x = 4(7) = 28
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)
----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------
Answer:
2 2/9
Step-by-step explanation:
2 divided by 9/10 = 2/1 / 9/10
2/1 x 10/9 = 20/9 = 2 2/9 or 2.222..
