This video demonstrates how to classify systems of linear equations into three types based on the ratios of their coefficients: (1) Unique solution when a1/a2 ≠ b1/b2 ≠ c1/c2, (2) No solution when a1/a2 = b1/b2 ≠ c1/c2, and (3) Infinitely many solutions when a1/a2 = b1/b2 = c1/c2. The video solves multiple examples including equations like 2x - y = 0 and x + 2y = 3 (unique solution), x + 2y = 6 and 4x + 8y = 24 (no solution), and x + 2y = 10 and 2x + 4y = 20 (infinitely many solutions).
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Class 10 Maths Exercise 3.2 Solution | Q.No: 4,5,6,7,8 | ASSEB Assam | Class 10 MathematicsAdded:
for 3.2 for x + 3 x + x² - x + A + B= 7 X + 3 X + 3 XQ + A X² - B X + X2 X + 3= X + X f x= x + x² - x + 6 - f of - 3 = -3 x - a x² into x - 3² - x - 3 + 6 Okay, plus - 27 into a + 9 a 3.
Okay. So 9 + 37.
So A 21 + 3 a + bal 21.
So a 3 a + b a + a= A + B2 Seven minus airman.
Airmann.
3 into a 7 bal 7 - 3 into b 3 b + bal 7 21 - 3 2 = 7 plus 21= minus number 14 B2 Fore!
Foreign! Foreign!
Beman 7 A= 7 - B 7 - 7 Nino airman zero arrow be solution.
2x= y - 5 x + 2 yus 3= 0 Y 2x - y = next= 0.
So, B1 B1 minus one C1 C1 C1 C2 C2 minus 3.
A1 by A2 equal to B1 by B2 sum. So a1us 2 a2 a2 -al b1 b1us b2 notal equal to notalch A1 by A2 not equal to B1 by B2.
One password.
Next question.
X= option two.
Next 2X= X - Y= 1.
2x - 3 y = 5 x - = x - y = 1 2x - 3 y - y = 1 x - y = x - y= a1 b1 1 - 31us 5 a2 bus 1 c2us 1 okay a1 by a2 a1 by a2 a1 2 a2 b1 a1 by a2 b1 by b2 b1us b1us bus 31 A1 by A2.
A12= B1 B2= B1 by B2.
Next= 6 + 8 y= 24 x + 2 y = 6 x + 2 y - 6 = next 4x + 8 y 4x + 8 y = 24x + 24= 01 b1 g 2 c1 - 6 a2 4 b2 8 c2 -4 Okay a1 by a2 a1 by a2 a1 1 a2 g 4 1x 4 b1 by b2 b1 given B2 next C1 by C2.
Okay.us B1 by B2 = C1 by C2. A1 by A2= B1 by B2= C1 by C2 + 3 Y = 6 + 3 Y - 6 = 0.
Next 4x + 6 y 4x + 6 y = 10 = 10 4x + 6 y - 10 = 0 a1 2 b1 3 c1 - 6 a2 4 b2 6 c2 - 10 A1 by A2 A1 by A2 A1 2 A2 four.
Next, B1 by B2.
Next, C1 by C2.
C12 A1 by A2= B1 by B2 not equal to C1 by C2.
B3 option.
Next number x 4x + y = 19.
X plus Xal 3x = - or 3x = 19 option.
Next number 2 + 4 y = 10 x + 8 y = 2x + 4 y = 10 2x + 4 y - 10 = Next question. Kx + 8 y = 20= 20 kx + 8 y - 20 = 0.
Soal b1 b2 not equal to c1 by c2.
A1 by A2 = B1 by B2 = C1 by C2.
B1 C1 A1 A1 A2 A2 A2 A1 A1 B1 C1 - 10 A2 K B2 8 C2 given - 20 A1 by A2 A1 A2 A equal to B1 by B2 B1 4 B2 8= C1 by C2 C1 - 10 C2 AU 1x 2 1 by 2= 1 by 2 = 1 by 2 A1= B1 by B2= C1 by C2 1x2 by 1x2 A1 by A2 B1 by C1 C2 for option.
So, next
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