How do you solve the following system: #x - 3y = -1 , 8x-y=19 #?
If you start to use decimals you will introduce errors. keep to fractions!
The objective when solving an equation is to have only 1 unknown and some numeric values. This is then solvable.
For a system to be solvable you have to have the same count of equations as the count of unknowns.
You have two unknowns and two equations so this system is solvable.
Change one of the equations so that there is the same count of the variable
Multiply equation (2) by 3 so that we have the same number of
I do not like it this way round for subtraction so reverse order
Divide both sides by 23 giving
I chose equation (1) to make the calculation easier!