Question

How to solve 4x - 2y = 22 and 2x + 4y = 6 using elimination

Answer 1

X=5
Y=1
2x+4(2x-11)=6
+44 both sides
2x+8x=50
10x=50
Divide by 10 both sides
X=5
Plug in 5 to x and you will find y

Answer 2

The given equations are

4x - 2y = 22 --- Equation Number 1

2x + 4y = 6 --- Equation Number 2

Let's multiply the first equation by 2 . The equation becomes :

8x - 4y = 44

Now let's add both the equations:

(2x + 4y) + (8x - 4y) = 6 +44

or, 2x + 8x + 4y - 4y = 50

or, 10x = 50

or, x = 50/10

or,x = 5

Now put, x =5 in equation number 2, 2x + 4y = 6

2 * 5 + 4 y = 6

or, 10 + 4y = 6

or, 4y = 6-10

or, 4y = -4

or, y = -4/4

or, y =-1

Therefore, x = 5 and y = -1

Hope this helps..!!

Thank you :)