Algebra

posted by .

help me solve this equation by substitution.

y^2− 4x^2 = 7
9y^2+16x^2 = 323

  • Algebra -

    from the 1st: y^2 = 4x^2 + 7
    into the 2nd

    9(4x^2 + 7) + 16x^2 = 323
    36x^2 + 63 + 16y^2 = 323
    52y^2 = 260
    y^2 = 5
    y = ± √5

    sub y^2 = 5 into the 1st:
    5 - 4x^2 = 7
    -4x^2 = -2
    x^2 = 1/2
    x = ± 1/√2

    4 solutions:
    x=√5, y= 1/√2
    x = -√5, y = 1/√2
    x = √5, y = -1/√2
    x = -√5 , y = -1/√2

    your graph would show an ellipse intersecting with a hyperbola, with 4 symmetric points of intersection

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    Solve the system by addition or substitution. 16x-4y=20 y=4x-4 I ask for help with this and forgot to add the problem. can anyone help me understand how to do this?
  2. Algebra

    There are two solutions to | 16x - 5 | = 3. The greatest solution is ___. Since the expression, 16x - 5, can be either positive or negative, solve for both. 16x - 5 = 3 16x = 8 x = .5 -(16x - 5) = 3 -16x + 5 = 3 -16x = -2 x = 1/8 You …
  3. algebra 1

    solve by substitution. 0.5x+0.25y=36 y+18=16x
  4. math

    Solve the following equation. 16x^2 − 16x + 4 = 0 x = 1 (smaller value) x = 2 (larger value)
  5. Algebra

    I just cannot seem to get these two problems. Any help is greatly appreciated. Use the method of substitution to solve the system. xy= 4 5x − y + 19= 0 and y^2 − 4x^2 = 7 9y^2 + 16x^2 = 323
  6. calculus

    i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i don't know what im doing wrong. answer: 10x^9 + 36x^8 − …
  7. Math - PreCalc (12th Grade)

    Which rectangular equation corresponds to these parametric equations?
  8. algebra

    The equation f(x) = 4x2 − 16x + 9 represents a parabola. What is the vertex of the parabola?
  9. Mathematics

    Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°
  10. Pre Calculus

    Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°

More Similar Questions