Question

What is the solution to the following system of equations?

4x + 2y = 18
x − y = 3
(−4, −1)
(1, 4)
(−1, −4)
(4, 1)

Answer 1

Explanation:

(4,1)

Answer 2

The solution is (4, 1).

Explanation:

Given system of equations,

4x + 2y = 18 ------(1)

x − y = 3 -------(2)

Equation (1) + 2 × equation (2),

We get,

4x + 2x = 18 + 6

6x = 24

`\implies x =(24)/(6)=4`

From equation (2),

4 - y = 3

⇒ 4 = 3 + y

⇒ 4 - 3 = y

⇒ 1 = y,

Hence, the solution of the system of equations is (4, 1).