Question

solve for x and y
0.4x-1.5y=6.5
0.3x+0.2y=0.9​

Answer 1

Answer:

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Answer 2

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Step-by-step explanation:

0.4x – 1.5y = 6.5 …(i) And 0.3x + 0.2y = 0.9 …(ii) On multiplying Eq. (i) by 3 and Eq. (ii) by 4 to make the coefficients of x equal, we get the equation as 1.2x – 4.5y = 19.5 …(iii) 1.2x + 0.8y = 3.6 …(iv) On subtracting Eq. (iii) from Eq. (iv), we get 1.2x + 0.8y – 1.2x + 4.5y = 3.6 – 19.5 ⇒ 5.3y = – 15.9 y = -15.9/5.3 ⇒ y = – 3 On putting y = – 3 in Eq. (ii), we get 0.3x + 0.2y = 0.9 ⇒ 0.3x + 0.2( – 3) = 0.9 ⇒ 0.3x – 0.6 = 0.9 ⇒ 0.3x = 1.5 ⇒ x = 1.5/0.3 ⇒ x = 5 Hence, x = 5 and y = – 3 , which is the required solution.Read more on Sarthaks.com - https://www.sarthaks.com/923854/solve-the-following-system-of-equations-by-elimination-method-0-4x-1-5y-6-5-0-3x-0-2y-0-9

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