Solve the following pairs of linear equations: 7x - 2y/xy = 5 8x + 7y/xy = 15

Given, Substituting in above equations we get, 7b - 2a = 5 ......(i) 8b + 7a = 15 ......(ii) Multiplying eq. (i) by 7 and eq. (ii) by 2 we get, 49b - 14a = 35 ......(iii) 16b + 14a = 30 .......(iv) Adding equations (iii) and (iv) we get, ⇒ 49b - 14a + 16b + 14a = 35 + 30 ⇒ 65b = 65 ⇒ b = 1. Substituting value of b in eq (i) we get, ⇒ 7(1) - 2a = 5 ⇒ 7 - 2a = 5 ⇒ 2a = 7 - 5 ⇒ 2a = 2 ⇒ a = 1. Hence, x = 1 and y = 1.

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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

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Mathematics

Solve the following pairs of linear equations: 7x - 2y/xy = 5 8x + 7y/xy = 15

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: 7x - 2y/xy = 5 8x + 7y/xy = 15

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:
99x + 101y = 499xy
101x + 99y = 501xy

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