SOLUTION: xy=21 y=3x-2 could you please help me with this non-linear system of equations? I started the problem x(3x-2)=21 then I got 3x^2-2x-21=0, but I didn't know where to go from th

Question 32649: xy=21
y=3x-2
could you please help me with this non-linear system of equations?
I started the problem x(3x-2)=21 then I got 3x^2-2x-21=0, but I didn't know where to go from there. Question is from my homework, textbook: Stepping through college algebra one step at a time. author: Robert J Rapalje, Ed.D.
Thank you for your help.
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
You've gotten down to a quadratric equation. You can solve quadratic eqns by factorising or by using the quadratic formula if that doesn't work.
The quadratic formula is: and is useed for solving a general quadratic expression which has been written in the form ax� + bx + c = 0.
Your quadratic expression is: 3x� - 2x - 21 = 0
This factorises as,
(3x + 7)(x - 3) = 0
So,
3x+7=0, or x-3=0
then,
x = -7/3, or x = 3
==================
RELATED QUESTIONS
xy=21 y=3x-2 could you please help me with this non-linear system of equations? I... (answered by checkley71)

Solve the non-linear equation x^2=3x+4 graphically using your calculator and write the... (answered by stanbon)

Could someone please help me with this I need to simplify the expression and any help... (answered by ladyluck4772)

Could someone please take the time to help me solve the question: Solve the following... (answered by ankor@dixie-net.com)

We have recently started working with finding vertical asymptotes in class and I came... (answered by MathLover1)

Please help me solve this linear system with three variables. 2x-y+2z=-21 x+5y-z=25 (answered by Alan3354)

system of Equations and inequalities There are 2 triangles which I can't draw, imagine... (answered by ankor@dixie-net.com)

Please help me with this problem. Solve the system of equations by substitution: y=3x+2; (answered by ichudov)

Can someone please help me with this problem. Graph the solution of the system of... (answered by Gogonati)