Solve the following simultaneous equations: 5x + 4y = 4, x - 12y = 20

Question

KnowledgeBoat · Accepted Answer

Given, Equations : 5x + 4y = 4, x - 12y = 20 ⇒ x - 12y = 20 ⇒ x = 20 + 12y ....(1) Substituting value of x from equation (1) in 5x + 4y = 4, we get : ⇒ 5(20 + 12y) + 4y = 4 ⇒ 100 + 60y + 4y = 4 ⇒ 100 + 64y = 4 ⇒ 64y = 4 - 100 ⇒ 64y = -96 ⇒ y = . Substituting value of y in equation (1), we get : ⇒ x = 20 + ⇒ x = 20 + 6(-3) ⇒ x = 20 - 18 ⇒ x = 2. Hence, x = 2, y = .

Mathematics

Solve the following simultaneous equations:
5x + 4y = 4, x - 12y = 20

Linear Equations

Related Questions

Solve the following simultaneous equations:
x + 2y = 1, 3x - y = 17

Solve the following simultaneous equations:
x + 2y + 9 = 0, 3x + 4y + 17 = 0

Solve the following simultaneous equations:
10x + 3y = 75, 6x - 5y = 11

Solve the following simultaneous equations:
7x - 2y = 20, 11x + 15y + 23 = 0

Mathematics

Solve the following simultaneous equations:5x + 4y = 4, x - 12y = 20

Linear Equations

Related Questions

Solve the following simultaneous equations:x + 2y = 1, 3x - y = 17

Solve the following simultaneous equations:x + 2y + 9 = 0, 3x + 4y + 17 = 0

Solve the following simultaneous equations:10x + 3y = 75, 6x - 5y = 11

Solve the following simultaneous equations:7x - 2y = 20, 11x + 15y + 23 = 0

Solve the following simultaneous equations:
5x + 4y = 4, x - 12y = 20

Solve the following simultaneous equations:
x + 2y = 1, 3x - y = 17

Solve the following simultaneous equations:
x + 2y + 9 = 0, 3x + 4y + 17 = 0

Solve the following simultaneous equations:
10x + 3y = 75, 6x - 5y = 11

Solve the following simultaneous equations:
7x - 2y = 20, 11x + 15y + 23 = 0