Question

What is the solution of the system?

Use the elimination method.
s 4x+2y=6
16x – 4y = -12

The solution is (3/2,0)

The solution is (0, 3).
There are an infinite number of solutions.
There is no solution.

Answer 1

(0, 3 )

Explanation:

Given the 2 equations

4x + 2y = 6 → (1)

16x - 4y = - 12 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the x- term

8x + 4y = 12 → (3)

Add (2) and (3) term by term

(8x + 16x) + (4y - 4y) = (12 - 12), that is

24x = 0 ⇒ x = 0

Substitute x = 0 into (1) or (2) and solve for y

Substituting in (1)

4(0) + 2y = 6

0 + 2y = 6

2y = 6 ( divide both sides by 2 )

y = 3

Solution is (0, 3 )