
Ronald B. answered 03/09/21
College Graduate
You could use Linear Algebra and solve it or just use regular algebra and solve it.
Write the first equation as x -5y = -1 and the second as it is. This will give you the matix:
1 -5 -1
1 2 13
Then do your operations to reduce the matrix to Lower Echelon Form.
The right end of the matrix will be your x and y coordinates.
Or you just solve it using regular algebra like you'd learn in High School.
You should get an expression for x and an expression for y in either case, which will be your coordinate values. What you are doing in the first method is simultaneously solving both equations. By the other method, you plug in the expression for x into the other equation and solve it for y.
(5y-1, ((13 - x) / 2) ) is your answer, simplify it as you can.