Solve : and

Question

Solve : and

KnowledgeBoat · Accepted Answer

Let = u and = v. The given equations are : 3u + 2v = 2 9u - 4v = 1 Multiply the first equation by 3 and subtract the second equation from it. ⇒ (3u + 2v = 2) x 3 ⇒ v = ⇒ v = Substituting the value of v in first equation, we get: ⇒ 3u + 2 = 2 ⇒ 3u + 1 = 2 ⇒ 3u = 2 - 1 ⇒ 3u = 1 ⇒ u = So, x + y = = 3 and x - y = = 2 ⇒ x + y = 3 And, x - y = 2 Adding both the equations, we get: ⇒ x = Substituting the value of x in first equation, we get: ⇒ + y = 3 ⇒ y = 3 - ⇒ y = ⇒ y = Hence, the value of x = and y = .

Mathematics

Solve : and

Linear Equations

Related Questions

Solve :
3(2u + v) = 7 uv
3(u + 3v) = 11 uv

Solve :
217x + 131y = 913
131x + 217y = 827

Use method of cross-multiplication to solve :
(i) 2x + y = 8 and 3x - 2y = 5
(ii) x + 4y = 3 and 2x + 9y = 5

Mathematics

Solve : and

Linear Equations

Related Questions

Solve :3(2u + v) = 7 uv3(u + 3v) = 11 uv

Solve :217x + 131y = 913131x + 217y = 827

Use method of cross-multiplication to solve :(i) 2x + y = 8 and 3x - 2y = 5(ii) x + 4y = 3 and 2x + 9y = 5

Solve :
3(2u + v) = 7 uv
3(u + 3v) = 11 uv

Solve :
217x + 131y = 913
131x + 217y = 827

Use method of cross-multiplication to solve :
(i) 2x + y = 8 and 3x - 2y = 5
(ii) x + 4y = 3 and 2x + 9y = 5