Solve the following simultaneous linear equations: 30/x - y + 44/x + y = 10 40/x - y + 55/x + y = 13

Substituting in above equations we get, 30a + 44b = 10 .......(i) 40a + 55b = 13 .......(ii) Multiplying (i) by 4 and (ii) by 3 we get, 120a + 176b = 40 .......(iii) 120a + 165b = 39 .......(iv) Subtracting eq. (iii) from (iv) we get, ⇒ 120a + 165b - (120a + 176b) = 39 - 40 ⇒ 165b - 176b = -1 ⇒ -11b = -1 ⇒ b = . Substituting value of b in (iv), ⇒ 120a + = 39 ⇒ 120a + 15 = 39 ⇒ 120a = 24 ⇒ a = . Adding eq. (v) and (vi) we get, ⇒ x + y + (x - y) = 11 + 5 ⇒ 2x = 16 ⇒ x = 8. Substituting value of x in (v) ⇒ x + y = 11 ⇒ 8 + y = 11 ⇒ y = 11 - 8 = 3. Hence, x = 8 and y = 3.

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

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

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

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Mathematics

Solve the following simultaneous linear equations: 30/x - y + 44/x + y = 10 40/x - y + 55/x + y = 13

Linear Equations

Related Questions

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

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

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

Mathematics

Solve the following simultaneous linear equations: 30/x - y + 44/x + y = 10 40/x - y + 55/x + y = 13

Linear Equations

Related Questions

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

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

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

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

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

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