solve the equations algebraically

x^2 + y^2 = 25
3y - 4x = 0

  1. 👍
  2. 👎
  3. 👁
  1. I would use substitution, from the 2nd ....
    y = 4x/3
    sub into the first ....
    x^2 + (4x/3)^2 = 25
    x^2 + 16x^2/9 = 25
    9x^2 + 16x^2 = 225
    25x^2 = 225
    x^2 = 9
    x = ± 3

    if x=3, y = 4
    if x = -3 , y = -4

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution

  2. How do I do this.?(Math.)

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second

  3. Algebra

    9. Solve the system of equations algebraically. Show all work. (2 pts.) y = -x2 + 4x – 3 y = -x + 1 I have tried everything before coming here, but I'm still stuck.

  4. Algebra/Precalculus

    Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x-3y+6z=6 x+2y-z=8 5x-8y+13z=4

  1. Math Help Please!

    Solve the system of equations algebraically. Show all of your steps. y=x^2+2x y=3x+20 Can someone please explain to me how to do this? I want to actually learn it, please. Thanks! :)

  2. math

    Solve I x^2-4 I = 2-x algebraically

  3. System of equation

    solve algebraically x^2 + y^2 = 16 x - y = 4

  4. Math problem

    Please solve Your profit P is determined by subtracting the cost C, the amount of money it costs to operate a business, from the revenue R, the amount of money you earn from selling your product. Profit can be represented

  1. Pre Calculas

    7. For the function defined by: f(x)= {x^2, x1} a. evaluate f(0) 8. Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices. 3x-y=0 5x+2y=22 9. Solve the following system

  2. Science

    solve the system of equations algebraically. show all your steps. y=x^2+2x y=3x+20 Can someone show me step by step on how to get the answer it's, there are answers like this that is going to be on my math test and I don'tget it.

  3. math

    How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant? If you find no solutions then the system is inconsistent. Suppose you have N variables and M equations

  4. algebra

    Solve the system of equations algebraically. Show all of your steps. y=x^2+2x **y=x^2+2x (2/2)^2=1 1=answer** y=3x+20 **y=3x+20 (3/2)^2=2.25 2.25=answer** am i right or wrong, if im wrong could someone show me the steps

You can view more similar questions or ask a new question.