Solve the following simultaneous linear equations:
ax + by = a - b
bx - ay = a + b

Question

Solve the following simultaneous linear equations: 3x + 2y = 2xy 1/x + 2/y = 1(1/6).

KnowledgeBoat · Accepted Answer

Given, 3x + 2y = 2xy .......(i) ......(ii) Dividing eq. (i) by xy we get, .......(iii) Substituting as p and as q in (ii) and (iii) we get, p + 2q = ......(iv) 3q + 2p = 2 ........(v) Multiplying (iv) by 6 and (v) by 3 we get, 6p + 12q = 7 ........(vi) 9q + 6p = 6 .......(vii) Subtracting (vii) from (vi) we get, 6p + 12q - (9q + 6p) = 7 - 6 3q = 1 q = . Substituting value of q in (iv) we get, Hence, x = 2 and y = 3.

Mathematics

Solve the following simultaneous linear equations: 3x + 2y = 2xy 1/x + 2/y = 1(1/6).

Linear Equations

Related Questions

Solve the following simultaneous linear equations:
ax + by = a - b
bx - ay = a + b

Mathematics

Solve the following simultaneous linear equations: 3x + 2y = 2xy 1/x + 2/y = 1(1/6).

Linear Equations

Related Questions

Solve the following simultaneous linear equations:ax + by = a - bbx - ay = a + b

Solve the following simultaneous linear equations:
ax + by = a - b
bx - ay = a + b