Solve the following system of equations: x - 2y = 14, x + 3y = 9

Solution:

Given, the system of linear equations are

x - 2y = 14 --- (1)

x + 3y = 9 --- (2)

From equation (1), x = 2y + 14

Put the value of x in (2),

⇒ 2y + 14 + 3y = 9

⇒ 5y + 14 = 9

⇒ 5y = 9 - 14

⇒ 5y = -5

⇒ y = -1

Put y = -1 in (2)

⇒ x + 3(-1) = 9

⇒ x - 3 = 9

⇒ x = 9 + 3

⇒ x = 12

Therefore, the solution is (12, -1).

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Solve the following system of equations: x - 2y = 14, x + 3y = 9

Summary:

Solving the following system of equations: x - 2y = 14, x + 3y = 9, the solution is (12, -1).