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Answer:
W = 12
L = 16
Step-by-step explanation:
Givens
L = L
W = 1/2 L + 4
Perimeter = 56
Formula
2L + 2W = Perimeter
Solution
Sustitute
2L + 2(1/2L + 4) = 56
2L + L + 8 = 56
3L + 8 = 56
3L + 8 - 8 = 56 - 8
3L = 48
3L/3 = 48/3
L = 16
W = 1/2 L + 4
W = 8 + 4
W = 12
Check
2L + 2W = 56
2*16 + 2*12 = 56
32 + 24 = 56
56 = 56 and it checks.
Step-by-step explanation:
-2x - 5y = 16___(1)
2x - 3y = -16___(2)
(1) + (2) ==> -2x -5y = 16
(+) <u>2x -3y = -16</u>
-8y = 0
y = 0/-8
y = 0
y=0 in (1)
(1)---> -2x-5y =16
-2x - 5(0) = 16
-2x - 0 = 16
-2x = 16
x = 16/-2
x = -8
x = -8 , y = 0
-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)
multiply eqn(1) with 2
2 × (1) : -10x + 4y = 22___(3)
(3) - (2) :. -10x + 4y = 22
(-) <u>-3x </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>1</u><u>3</u>
-7x = 35
x = 35/-7
x = -5
x=-5 in (1)
(1) : -5x + 2y = 11
-5(-5) + 2y = 11
25 + 2y = 11
2y = 11 - 25
2y = -14
y = -14/2
y = -7
x = -5 , y = -7
