Question

solve the system of equations 1: y=3x^2-2x-1      2x+3y=2 2: x^2+(y-2)^2=4      x^2-2y=0

solve the system of equations
1: y=3x^2-2x-1
     2x+3y=2

2: x^2+(y-2)^2=4
     x^2-2y=0

Homework Answers

Answer #1

2x+3y = 2 so y = (2-2x)/3
y = 3x2 -2x-1
(2-2x)/3 = 3x2 - 2x - 1
2-2x = 9x2 - 6x - 3
9x2 -4x -5=0;
9x2 - 9x + 5x - 5 =0
9x (x-1) + 5 (x-1) =0
(9x+5) ( x-1) = 0
x=1 or x= -5/9;
if x=1 then y= 2-2 / 3 = 0
if x=-5/9, y = (2- (-10/9) ) /3 = 28/27
Thus, (x,y) = (1,0) or (-5/9, 28/27)

2) x2 -2y =0 so x2 = 2y
x2 + (y-2)2 = 4
substituting x2 = 2y we get
2y + (y-2)2 = 4
2y+ y2 -4y + 4 = 4
y2 - 2y=0;
y(y-2) =0
y=0 or y=2
if y=0 then x= sqrt(4-4) = 0
if y=2 then x2 = 4 ; So x= sqrt(4) = 2
Thus, (x,y) = (0,0) or (2 , 2)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve each system of equations x-2y+3z=7 2x+y+z=4 -3x+2y-2z=-10
Solve each system of equations x-2y+3z=7 2x+y+z=4 -3x+2y-2z=-10
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve...
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1
1) Solve these equations: 3x-y=-11 x+2y=8 2) Solve these equations: x+y+z=6 x-y-z=-4 2x+y-4z=-8
1) Solve these equations: 3x-y=-11 x+2y=8 2) Solve these equations: x+y+z=6 x-y-z=-4 2x+y-4z=-8
1.Solve the system of equations. 2x + 3y = 6 and x – y = ½...
1.Solve the system of equations. 2x + 3y = 6 and x – y = ½ 2.Is x = y2 a function? 3.Which do we use to determine if a graph represents a function? 4.Find the average rate of change from 2 to 5 for the function, f(x) = -4x + 1. 5.What are the slope and y-intercept for the function, h(x) = -3x + 4?
Solve the system of equations using an inverse matrix -4x-2y+z= 6 -x-y-2z= -3 2x+3y-z= -4 Choose...
Solve the system of equations using an inverse matrix -4x-2y+z= 6 -x-y-2z= -3 2x+3y-z= -4 Choose one: a. (-1, 0, -2) b. (1, 0, -2) c. (1, 0, 2) d. (-1, 0, 2)
Solve the following system of equations. 2x-3y+z=2 13x-7z=-5    3x+y=2
Solve the following system of equations. 2x-3y+z=2 13x-7z=-5    3x+y=2
Solve the following system of equations. {−x+4y−z=-4 3x−y+2z=6 2x−3y+3z=−2 Give your answer as an ordered triple...
Solve the following system of equations. {−x+4y−z=-4 3x−y+2z=6 2x−3y+3z=−2 Give your answer as an ordered triple (x,y,z).
Solve this system of equations −2x−3y=−17 −3x+2y=−6 One solution: No solution Infinite number of solutions
Solve this system of equations −2x−3y=−17 −3x+2y=−6 One solution: No solution Infinite number of solutions
1. solve the system of equations: x+3y=9 3x+9y=27 please solve to get the x and y...
1. solve the system of equations: x+3y=9 3x+9y=27 please solve to get the x and y solution 2. solve the system of equations, please state the x and y solution 9x-4y=23 15x+4y=41 3. solve the system of equations please state the x and y solution x - y - z = 1 5x + 6y + z = 1 30x + 25y = 0
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve...
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve the following system of equations by using row operations on a matrix: 2x+y-z=7 x+2y+z=8 x-2y+3z=2