{y=3x-8 {4x-y=2

Question

Linear systems by elimination I need help solving this equation for the problem above

Answer 1

First, let's write both equations in standard form:

 

-3x + y = -8

 4x  - y = 2

 

The first equation contains a +y and the second a -y.  So let's add the two equations together to eliminate the y and solve for x:

 

   -3x + y = -8
+  4x -  y  = 2

------------------

     x  + 0 = -6

 

x = -6

 

To find y, plug x = -6 into either original equation and solve for y:

 

4x - y = 2

4(-6) - y = 2

-24 - y = 2

-26 = y

 

Check:

y = 3x-8

-26 = 3(-6)-8

-26 = -18 - 8

-26 = -26

Check!

 

4x-y = 2

4(-6) - (-26) = 2

-24 + 26 = 2

2 = 2

Check!