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Solve given linear equations. 2x-5y+8=0; x-4y+7=0 |
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Answer» ong>Answer: x = 1 and y = 2 Step-by-step explanation: We are given, 2x - 5y + 8 = 0 ----- 1 x - 4y + 7 = 0 ---- 2 Now, From eq.1 and eq.2, we can write it as, 2x - 5y = -8 ------ 3 x - 4y = -7 ------ 4 Let's solve the linear equation using Sunbstitution METHOD Now, we can find x in terms of y from eq.4 x = 4y - 7 ------ 5 Putting eq.5 in eq.3 we get 2(4y - 7) - 5y = -8 8y - 14 - 5y = -8 8y - 5y = 14 - 8 3y = 6 y = 6/3 y = 2 Putting y = 2 in eq.5 we get, x = 4(2) - 7 x = 8 - 7 x = 1 Thus, x = 1 and y = 2 Hope it helped and you understood it........All the best |
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