Solve the system of equations algebraically.
4x-2y=8
2x-4y=4

Question

Solve the system of equations algebraically. 
4x-2y=8
2x-4y=4

compassionate · Answer

There are two methods. Substitution and Elimination. Which one do you think is the best to use?

anonymous · Answer

I was trying elimination but need help

compassionate · Answer

Okay, what step are you having trouble with?

anonymous · Answer

Okay so I know I have to multiply equations by values to make the coefficients of that variable opposites. I'm not getting the right answer though, so I don't know if I'm multiplying it by the wrong number

compassionate · Answer

4x-2y=8
2x-4y=4 

Okay, so you want to cancel the terms. We can cancel either x or y. But, looking at this, lets cancel the y term first

-2(4x-2y=8) -- If we multiply this equation by -2, y will cancel. 
2x-4y=4

-8x + 4x = -16 
2x - 4y = 4 

Add the equations 

-6x = -12 

Divide 

x = 2

anonymous · Answer

I understand now. thank you!