Using the process of elimination, we will be able to determine the answer. So, 5x+3y=-10 multiply it by *3 to change the equation into 15x+9y=-30. Then to change 3x+5y=-6 multiply it by *5, to change it into 15x+25y=-30. So now with these two equations 15x+9y=-30 and 15x+25y=-30, use subtraction to get rid of the variable x.
Thus,
15x+9y=-30 - 15x+25y=-30
which will leave you with
-16y=0 thus, y=0
Then, plug y back into the original equation to find x
The error is in STEP 3. In any type of inequality one is not allowed to transpose(multiply or divide) any negative number. We can only divide it by positive numbers. if we multiply it by a negative real number the inequality reverses. for example:
