Question

What is the solution to the following system of equations? 4x + 2y = 12 x − y = 3 (3, 0) (0, 3) (0, −3) (2, 3)

Answer 1

Answer: First Option

(3, 0)

Step-by-step explanation:

We have the following system of equations:

$4x + 2y = 12$

$x - y = 3$

To find the solution of the system of linear equations multiply the second equation by -4 and add it to the first equation

$4x + 2y = 12$

$-4x +4y = -12$

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$0+6y=0$

$y=0$

Now substitute the value of y in the first or second equation:

$x - 0 = 3$

$x = 3$

The solution is: (3, 0)