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Ex 3.2
Ex 3.2, 2 (i)
Ex 3.2, 2 (ii) Important
Ex 3.2, 2 (iii)
Ex 3.2, 2 (iv)
Ex 3.2, 3 (i)
Ex 3.2, 3 (ii) Important
Ex 3.2, 3 (iii)
Ex 3.2, 3 (iv) Important
Ex 3.2, 3 (v)
Ex 3.2, 3 (vi) Important
Ex 3.2, 4
Ex 3.2, 5
Ex 3.2, 6
Ex 3.2, 7 (i)
Ex 3.2, 7 (ii) Important You are here
Ex 3.2, 8
Ex 3.2, 9
Ex 3.2, 10
Ex 3.2, 11
Ex 3.2, 12 Important
Ex 3.2, 13 Important
Ex 3.2, 14
Ex 3.2, 15
Ex 3.2, 16 Important
Ex 3.2, 17 Important
Ex 3.2, 18
Ex 3.2, 19 Important
Ex 3.2, 20 Important
Ex 3.2, 21 (MCQ) Important
Ex 3.2, 22 (MCQ) Important
Last updated at Aug. 16, 2021 by Teachoo
Maths Crash Course - Live lectures + all videos + Real time Doubt solving!
Ex 3.2, 7 Find X and Y, if (ii) 2X + 3Y = [■8(2&[email protected]&0)] and 3X + 2Y = [■8(2&−[email protected]−1&5)] Given 2X + 3Y = [■8(2&[email protected]&0)] Multiplying by 3 3 × (2X+ 3Y) = 3 [■8(2&[email protected]&0)] 6X + 9Y = [■8(2 × 3&3 × [email protected] × 3&0 × 3)] 6X + 9Y = [■8(6&[email protected]&0)] Given 3X + 2Y = [■8(2&−[email protected]−1&5)] Multiplying by 2 2 × (3X + 2Y) = 2 × [■8(2&−[email protected]−1&5)] 6X + 4Y = [■8(2 ×2&−2 ×[email protected]−1 ×2&5 ×2)] 6X + 4Y = [■8(4&−[email protected]−2&10)] Subtracting (1) from (2), (6X + 9Y) – (6X + 4Y) = [■8(6&[email protected]&0)] – [■8(4&−[email protected]−2&10)] 6X + 9Y – 6X – 4Y = [■8(6−4&9−(−4)@12−(−2)&0−10)] 9Y – 4Y + 6X – 6X = [■8(2&[email protected]+2&−10)] 5Y + 0 = [■8(2&[email protected]&−10)] Y = 1/5 [■8(2&[email protected]&−10)] Y = [■8(2/5&13/[email protected]/5&−10/5)] = [■8(2/5&13/[email protected]/5&−2)] Putting value of Y in (1) 6X + 9Y = [■8(6&[email protected]&0)] 6X + 9 [■8(2/5& 13/[email protected]/5&−2)] = [■8(6&[email protected]&0)] 6X + [■8(9 × 2/5&9 ×13/[email protected] ×14/5&9 ×−2)] = [■8(6&[email protected]&0)] 6X + [■8(18/5&117/[email protected]/5&−18)] = [■8(6&[email protected]&0)] 6X = [■8(6&[email protected]&0)] – [■8(18/5&117/[email protected]/5&−18)] 6X = [■8(6−18/5&9−117/[email protected]−126/5&0−(−18))] 6X = [■8((6 × 5 − 18)/5&(9 × 5 − 117)/[email protected] (12 × 5 − 126)/5&18)] 6X = [■8((30 − 18)/5&(45 − 117)/[email protected] (60 − 126)/5&18)] 6X = [■8(12/5&(−72)/[email protected] (−66)/5&18)] X = 1/6 [■8(12/5&(−72)/[email protected] (−66)/5&18)] X = [■8(1/6 × 12/5&1/6 ×(−72)/[email protected]/6 ×(−66)/5&1/6 ×18)] X = [■8(2/5&(−12)/[email protected](−11)/5&3)] Thus, X = [■8(𝟐/𝟓& (−𝟏𝟐)/𝟓@ (−𝟏𝟏)/𝟓&𝟑)] , Y = [■8(𝟐/𝟓&𝟏𝟑/𝟓@𝟏𝟒/𝟓&−𝟐)]