Solve the following simultaneous equations:
x + y = 2xy, x − y = 6xy
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Question

Solve the following simultaneous equations: 22/(x + y) + 15/(x-y) =5, 55/(x + y) + 40/(x - y) = 13

KnowledgeBoat · Accepted Answer

Given, Equations: ..........(1) ..........(2) Multiplying equation (1) by 5, we get: Multiplying equation (2) by 2, we get: Subtracting equation (3) from (4), we get: Substituting value of x - y from equation (5) in equation (1), we get: Adding equations (5) and (6), we get: Substituting value of x in equation (6), we get: ⇒ x + y = 11 ⇒ 8 + y = 11 ⇒ y = 11 - 8 ⇒ y = 3 Hence, x = 8, y = 3.

Mathematics

Solve the following simultaneous equations: 22/(x + y) + 15/(x-y) =5, 55/(x + y) + 40/(x - y) = 13

Linear Equations

Related Questions

Solve the following simultaneous equations:
x + y = 2xy, x − y = 6xy

Solve the following simultaneous equations:
103x + 51y = 617, 97x + 49y = 583

Solve the following simultaneous equations:
23x − 29y = 98, 29x − 23y = 110

Mathematics

Solve the following simultaneous equations: 22/(x + y) + 15/(x-y) =5, 55/(x + y) + 40/(x - y) = 13

Linear Equations

Related Questions

Solve the following simultaneous equations:x + y = 2xy, x − y = 6xy

Solve the following simultaneous equations:103x + 51y = 617, 97x + 49y = 583

Solve the following simultaneous equations:23x − 29y = 98, 29x − 23y = 110

Solve the following simultaneous equations:
x + y = 2xy, x − y = 6xy

Solve the following simultaneous equations:
103x + 51y = 617, 97x + 49y = 583

Solve the following simultaneous equations:
23x − 29y = 98, 29x − 23y = 110