Solve for elimination 8x-y=10 x-3y=20

Question

what is the x value andy value using elimination 

Answer 1

Hi Ashley,

 

8x - y = 10

 

x - 3y = 20

 

In order to eliminate one of the variables we need to multiply one of the equations by a value that will make one of the terms the same in both equations.

 

I will multipy the first equation by 3 (then the y term will be the same in both equations

 

24x - 3y = 30       (multiplied by 3

x - 3y =20

 

Now subtract the second from the first

 

23x = 10

x =10/23

 

now solve for y

 

x - 3y = 20

 

10/23 - 3y = 20

 

-3y = 460/23 - 10/23

 

-3y = 450/23

 

y = -150/23

 

You can check it by substitution x and y back in the first equation

 

8(10/23) - (-150/23) = 10

 

80/23 + 150/23 = 10

 

230/23 = 10

 

10 = 10

 

Hope this helps