Solve the following pair of equations: 2/3(2x - y) + 1/2(x + 2y) = 5/12, 1/2x-y - 2/x+2y = 1/6

Question

KnowledgeBoat · Accepted Answer

Substituting = a and = b in above equations, we get : ⇒ ..........(1) ⇒ a - 2b = .........(2) Multiplying equation (1) by we get : Subtracting equation (2) from (3), we get : Substituting b = in equation (2), we get : Substituting value of x from equation (4) in (5), we get : ⇒ 2(6 - 2y) - y = 2 ⇒ 12 - 4y - y = 2 ⇒ 12 - 5y = 2 ⇒ -5y = 2 - 12 ⇒ -5y = -10 ⇒ y = = 2. Substituting y = 2 in equation (4), we get : ⇒ x = 6 - 2y ⇒ x = 6 - 2(2) = 6 - 4 = 2. Hence, x = 2 and y = 2.

Mathematics

Solve the following pair of equations: 2/3(2x - y) + 1/2(x + 2y) = 5/12, 1/2x-y - 2/x+2y = 1/6

Linear Equations

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Solve the following simultaneous linear equations:
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Mathematics

Solve the following pair of equations: 2/3(2x - y) + 1/2(x + 2y) = 5/12, 1/2x-y - 2/x+2y = 1/6

Linear Equations

Related Questions

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

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