what is the solution to the following system of equations?

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

The solution is (4, 1).

Step-by-step 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

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).

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6