Question

Which method would be the simplest way to solve the system
7x+5y=19
-7x-2y=-16

Answer 1

The simplest method to solve this system of equations would be to use the method of addition or elimination.

To do this, we can add both equations together so that the x-terms cancel out.

(7x + 5y) + (-7x - 2y) = 19 + (-16)
5y - 2y = 3

3y = 3
y = 1

Now that we have found the value of y, we can substitute it back into one of the original equations to find the value of x.

7x + 5(1) = 19
7x + 5 = 19
7x = 14
x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.