Systems help...

-2x + 4y = 12 ----------(eqn 1)

5x-2y = 10 -----------(eqn 2)

Multiply eqn 2, by 2 to get equation 3.

10x-4y = 20 ---------(eqn 3)

-2x + 4y = 12 ----------(eqn 1)

Now add eqn 1 to eqn 3, to get

8x = 32

x =32/8

x= 4

now plug in x=4, into any of the original equations to find y.

Pluging x =4 into eqn 1 gives,

-2(4) + 4y = 12

-8 + 4y =12

4y = 12 + 8

4y = 20

y = 20/4

y = 5

therefore, X = 4 and Y = 5