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heuristics
There are several methods. 1. graphing, then find the intersection. 2. Substitution (take one equation and solve for one variable, substitute that into the 2nd equation) 3. Elimination. Arrange both equations in standard form, arrange so that the coefficients on one of the variables are the same and subtract the 2 equations. 4. Cramer's rule, use matrices to solve.
Use the commutative rule in math. If you do something to one side of the equation, you must do the same to the other side. Divide both sides by 2500 to get x = 5/2500, reduce the fraction to get the answer.
If you do -5+-5 you get -10 which is not a positive number. If you subtract two negative numbers you could get a positive depending on what number you are subtracting. E.G. -5 - -9 =4 which is positive. A good rule a thumb is -- goes up +- goes down.
Oh, what a lovely question! To solve by Cramer's rule, you'll first calculate the determinant of the coefficient matrix, then create matrices by replacing the x-column with the constants and solving for the determinant of that matrix. Finally, you'll divide these determinants to find the values of x and y. Just like painting a happy little tree, take your time and follow each step with care.