|| 500 | 60 | 3
====||============================
400 ||200,000 | 24,000 | 1,200
-------||----------------------------------------------
10 || 5,000 | 600 | 30
-------||------------------------------------------------
0 || 0 | 0 | 0
====================================
TOT || 205,000 | 24,600 | 1,230 ====> 230,830
Answer:
Step-by-step explanation:
The four steps of linear combination method are
1) Rearrange like terms such that they are in the same column.
2) The next step is to decide on which variable you want to eliminate and multiply each row with suitable numbers that would make the coefficient of the variable to be equal and opposite.
3) Add both rows and solve for the other unknown variable.
4) substitute the known variable into any of the equations and solve for the other variable.
4x + 2y = 5
−4x − 5y = 7
We would eliminate x by adding both equations. It becomes
- 3y = 12
y = 12/- 3 = - 4
Substituting y = - 4 into the first equation, it becomes
4x + 2 × - 4 = 5
4x - 8 = 5
4x = 5 + 8 = 13
x = 13/4 = 3.25
Answer: Length = 9 meters
Width = 6 meters
Step-by-step explanation:
The diagram of the playground is shown in the attached photo
The width of a small playground 3 meters less than the length of the playground.
Length of playground = L meters
Width of playground = (L-3) meters
The area of the playground is 54 square meters.
Area = L × W
54 = L(L - 3)
54 = L^2 - 3L
L^2 - 3L - 54 = 0
L^2 + 6L - 9L- 54 = 0
L(L+6) - 9(L+6) = 0
(L-9)(L+6) = 0
L -9 = 0. or L+6 = 0
L = 9 or L = -6
L cannot be negative so, the length of the playground is 9 meters
The width of the playground is
L-3 = 9-3 = 6 meters
