When you have a system of equations like this, the solution will be a coordinate, so it will have an x point and a y point. To find the solution's x coordinate you first want to add the equations together.
x + 3y = 5
x - 3y = -1
x + x = 2x
3y - 3y = 0
5 + (-1) = 5 - 1 = 4
So now we have 2x = 4
Just solve for x in this simple one-step equation by dividing each side by 2 to isolate the variable.
2x / 2 = 4 / 2
x = 2
The x coordinate of the solution is 2.
Now, to find the y coordinate we will substitute our x value (2) into either of the original equations.
I'll choose x + 3y = 5
We now know that x = 2, so replace x with 2.
x + 3y = 5
2 + 3y = 5
3y + 2 = 5
(subtract 2 from each side)
3y + 2 - 2 = 5 - 2
3y = 3
(divide each side by 3)
3y / 3 = 3 / 3
y = 1.
So, we've found that the x coordinate of our solution is 2, and the y coordinate is 1/
The solution is (2, 1)
Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best that I can.
