Solve the following pairs of linear equations: 3x + 5y = 4xy 2y - x = xy.

Given, 3x + 5y = 4xy ........(i) 2y - x = xy .......(ii) First we note that x = 0, y = 0 is a solution of equations. Now when x ≠ 0 and y ≠ 0. Dividing above equations by xy we get, .......(iii) .......(iv) Substituting in eq. (iii) and (iv) we get, 3b + 5a = 4 .......(v) 2a - b = 1 .......(vi) Multiplying eq. (vi) by 3 we get, 6a - 3b = 3 ........(vii) Adding eq. (v) and (vii) we get, ⇒ 3b + 5a + 6a - 3b = 4 + 3 ⇒ 11a = 7 ⇒ a = . Substituting value of a in eq. (vi) we get, Hence, x = 0, y = 0 and x =

Solve the following pairs of linear equations:
99x + 101y = 499xy
101x + 99y = 501xy

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Solve the following pairs of linear equations:
3x + 14y = 5xy
21y - x = 2xy

View Answer Bookmark Now

Mathematics

Solve the following pairs of linear equations:
3x + 5y = 4xy
2y - x = xy.

Linear Equations

Related Questions

Solve the following pairs of linear equations:
99x + 101y = 499xy
101x + 99y = 501xy

Solve the following pairs of linear equations:
3x + 14y = 5xy
21y - x = 2xy

Mathematics

Solve the following pairs of linear equations:3x + 5y = 4xy2y - x = xy.

Linear Equations

Related Questions

Solve the following pairs of linear equations:99x + 101y = 499xy101x + 99y = 501xy

Solve the following pairs of linear equations:3x + 14y = 5xy21y - x = 2xy

Solve the following pairs of linear equations:
3x + 5y = 4xy
2y - x = xy.

Solve the following pairs of linear equations:
99x + 101y = 499xy
101x + 99y = 501xy

Solve the following pairs of linear equations:
3x + 14y = 5xy
21y - x = 2xy