This week we learnt how to solve a graphing equation using elimination.

To start, you’ll get 2 equations for example: 4x-3y=2 and -4x-y=6. Next, you have to see if there are any 0 pairs. If there is, then the next step is to add the two equations together. ([4x-3y=2]+[-4x-y=6]= [-4b=8]) because the 4x and the -4x cancel each other out. Now, you want to get the y by itself. To do that, you divide each side of the equals sign by -4. What’s left is y=-2. Now, you know that the y intercept is (-2) which means you still need to find what the x intercept is to get the full coordinate.

To do that, you rewrite either the first or second equation we had at the start and replace the y with (-2). I’m using the first equation.       4x-3(-2)=2 . Now, you multiply everything that needs to be multiplied: 4x+6=2. Next, you want to get x by itself. You move the 6 over to the side that the two is which turns the 6 negative. The, you add the -6 and the 2 together which equals -4. The equation is written as 4x=-4 now. Finally, you divide both sides by 4 to get the x by itself which gives us: x=-1.

So finally, you know that the coordinates for this point is (-1,-2)

To check that your calculations are right you can add the -1 and -2 back into both equations to see if they’re true.

4(-1)-3(-2)=2:

(-4)+(6)=2

This equation is true so you can move on to check the second equation.

-4(-1)-(-2)=6:

4+2=6

4+2 does equal 6 so you now know for sure that your calculations were right and that the coordinates are (-1,-2)