What's the answer too 7x+4y=14; y=6x-12 using elimination

7x+4y=14

y=6x-12

Reorder:

7x+4y=14

-6x+y=-12

Multiply bottom one by 4:

7x+4y=14

4 (-6x+y=-12)

=>

7x+4y=14

-24x+4y=-48

Combine/Eliminate:

-17x=-34

/-17 / -17

x=2

Plug x back in to one of the equations:

y=6 (2) - 12=12-12=0

Answer:

x=2, y=0

x = 2

y = 0

Step-by-step explanation:

To solve by elimination, you have to first change the equations so that you can cancel out one variable.

Change the second one.

4y = 24x - 48

Subtract them:

7x = - 24x + 62

31x = 62

x = 2

y = 0