67x - 58y = 192 58x - 67y = 183

Given, Equations : 67x - 58y = 192 ........(1) 58x - 67y = 183 ........(2) Multiplying equation (1) by 58, we get : ⇒ 58(67x - 58y) = 192 × 58 ⇒ 3886x - 3364y = 11136 ........(3) Multiplying equation (2) by 67, we get : ⇒ 67(58x - 67y) = 183 × 67 ⇒ 3886x - 4489y = 12261 .........(4) Subtracting equation (3) from (4), we get : ⇒ 3886x - 4489y - (3886x - 3364y) = 12261 - 11136 ⇒ 3886x - 3886x - 4489y + 3364y = 1125 ⇒ -1125y = 1125 ⇒ y = = -1. Substituting value of y in equation (1), we get : ⇒ 67x - 58(-1) = 192 ⇒ 67x + 58 = 192 ⇒ 67x = 192 - 58 ⇒ 67x = 134 ⇒ x = = 2. Hence, x = 2 and y = -1.

Solve the following simultaneous linear equations:
2(x - 4) = 9y + 2
x - 6y = 2.

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Solve the following simultaneous linear equations:
97x + 53y = 177
53x + 97y = 573

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Solve the following simultaneous linear equations:
x + y = 7xy
2x - 3y + xy = 0

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Mathematics

67x - 58y = 192
58x - 67y = 183

Linear Equations

Related Questions

Solve the following simultaneous linear equations:
2(x - 4) = 9y + 2
x - 6y = 2.

Solve the following simultaneous linear equations:
97x + 53y = 177
53x + 97y = 573

Solve the following simultaneous linear equations:
x + y = 7xy
2x - 3y + xy = 0

Mathematics

67x - 58y = 19258x - 67y = 183

Linear Equations

Related Questions

Solve the following simultaneous linear equations:2(x - 4) = 9y + 2x - 6y = 2.

Solve the following simultaneous linear equations:97x + 53y = 17753x + 97y = 573

Solve the following simultaneous linear equations:x + y = 7xy2x - 3y + xy = 0

67x - 58y = 192
58x - 67y = 183

Solve the following simultaneous linear equations:
2(x - 4) = 9y + 2
x - 6y = 2.

Solve the following simultaneous linear equations:
97x + 53y = 177
53x + 97y = 573

Solve the following simultaneous linear equations:
x + y = 7xy
2x - 3y + xy = 0