SOLUTION: Ralph wants to find the solution to a system of equations using y = x - 2 and y = x2 + 6x - 38. Joey says that Ralph can solve x2 + 5x - 36 = 0 to find the x-coordinates of the sol

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ralph wants to find the solution to a system of equations using y = x - 2 and y = x2 + 6x - 38. Joey says that Ralph can solve x2 + 5x - 36 = 0 to find the x-coordinates of the sol      Log On


   

Question 955457: Ralph wants to find the solution to a system of equations using y = x - 2 and y = x2 + 6x - 38. Joey says that Ralph can solve x2 + 5x - 36 = 0 to find the x-coordinates of the solutions to his system. Explain and demonstrate why Joey is correct.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
y=x-2
y=x%5E2%2B6x-38 Substitute for y from equation above
x-2=x%5E2%2B6x-38Add 2 to each side.
x=x%5E2%2B6x-36 Subtract x from each side.
0=x%5E2%2B5x-36 Solve this equation for x values.