How do you solve the following linear system: #-9x - 5y = -1, 3x + y = 1 #?
There are two methods: Substitution and addition, subtraction.
For this problem addition or subtraction would be the preferred method.
Multiplying the second equation by 3 makes adding the two equations easy
Now add the two equations
Now solve for y by dividing both sides by
The point of intersection is
The substitution method would also work but in this case would be more difficult. An alternative would be to graph both equations and then find the point of intersection.