sistemas de ecuaciones lineales contestados
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sistemas de ecuaciones lineales contestadosTRANSCRIPT
Sistema de ecuaciones lineales
a + b = 135a – b = -35
a + b = 135a – b = - 352a = 100a = 100
2a = 50
+ a + b = 13550 + b = 135b = 135 – 50b = 85
a = 50b = 85
x + y = 72x – y = 48
x + y = 72x – y = 482x = 120x = 120
2x = 60
+x + y = 7260 + y = 72y = 72 – 60y = 12
x = 60y = 12
2x + 9y = 395x – y = -20
(5) 2x + 9y = 39(-2) 5x – y = -20
2x + 9y = 392x + 9(5) = 395x – y = -20 (-2) 5x – y = -20
10x + 45y = 195-10x + 2y = 4047y = 235
y = 23547
y = 5
x = -3y = 5
+
5x + 2y = 244x + 3y = 29
(4) 5x + 2y = 24(-5) 4x + 3y = 29
20x + 8y = 96-20x – 15y = -145
-7y = -49-y = -49
7-y = -7y = 7
x = 2y = 7
+
2x + 9(5) = 392x + 45 = 392x = 39 – 452x = -6x = 2
-6x = -3
5x + 2y = 245x + 2(7) = 245x + 14 = 245x = 24 – 145x = 10x = 10
5x = 2
8x - 3y = 177x - 4y = 8
x = 4y = 5
(7) 8x - 3y = 17(-8) 7x - 4y = 8
56x - 21y = 119-56x + 32y = -64
11y = 55y = 55
11y = 5
+
8x - 3y = 178x - 3(5) = 178x - 15 = 178x = 17 + 158x = 32x = 32
8x = 4
8x + y = 213x + y = 11
x = 2y = 5
(3) 8x + y = 21(8-) 3x + y = 11
24x + 3y = 63-24x - 8y = -88
-5y = -25-y = -25
5-y = -5y = 5
+
8x + y = 218x + 5 = 218x = 21 - 58x = 16x = 16
8x = 2
5x – 2y = 314x + 3y = 11
x = 5y = -3
(4) 5x – 2y = 31(-5) 4x + 3y = 11
20x - 8y = 124-20x - 15y = -55
-23y = 69-y = 69
23-y = 3y = -3
+
5x – 2y = 315x – 2(-3) = 315x + 6 = 315x = 31 - 65x = 25x = 25
5x = 5
5x – 6y = 21x - 2y = 5
x = 3y = -1
(1) 5x – 6y = 21(-5) x - 2y = 5
5x - 6y = 21-5x + 10y = -25
4y = -4y = -4
4y = -1
+
5x – 6y = 215x – 6(-1) = 215x + 6 = 215x = 21 - 65x = 15x = 15
5x = 3