Which method would you prefer to use to solve the system

Question

7x-y=-25

2x+5y=14

 

Systems of linear equations and inequalities

Answer 1

Either substitution or elimination.  In this case, they're both just about the same amount of effort.

 

You can easily convert the first equation to y = 7x + 25.  Once you've done that, you can substitute for y in the second equation.

 

Or, multiply both sides of the first equation by 5 to get 35x - 5y = 125.  Then add that to the second equation to eliminate y.