SOLUTION: Solve each system of equations by substitution x-y=3 x-y^2=1 The answers are (5,2)and (2,-1) but I need a step by step of how to get them, I can't seem to do it..

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve each system of equations by substitution x-y=3 x-y^2=1 The answers are (5,2)and (2,-1) but I need a step by step of how to get them, I can't seem to do it..      Log On


   

Question 1010965: Solve each system of equations by substitution
x-y=3
x-y^2=1
The answers are (5,2)and (2,-1) but I need a step by step of how to get them, I can't seem to do it..
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
You can do this. Solve the linear equation for x or y, and substitute into the quadratic equation. You will find two solutions.


Another way: Solve the quadratic for x in terms of y. Substitute this into the linear equation and solve for the two possible y values. Find the corresponding x values.