Chapter 11: Q. 345 (page 1160)

Solve the nonlinear system of equations by
graphing:
$\{\begin{cases} 3 y^{2} - x = 0 \\ y = - 2 x - 1 \end{cases}$

Short Answer

Expert verified

The type of the given equation are line and parabola.

Step by step solution

Step 1. Given Information

Given that the equation is $\{\begin{cases} 3 y^{2} - x = 0 \\ y = - 2 x - 1 \end{cases}$

Step 2. Form of the graph

When only one variable is squared, then it is parabola. The equation with two variable is line. The solution for $3 y^{2} - x = 0$ is parabola and $y = - 2 x - 1$ is line. On comparing the given equation with the standard form,

$3 y^{2} - x = 0 x = 3 y^{2} a = 3, b = 0, b = 0 y = - 2 x - 1 m = - 2, b = - 1$

The standard form of $3 y^{2} - x = 0$ is $x = 3 y^{2}$ and $y = - 2 x - 1$ is $y = - 2 x - 1 .$

Step 3. Graph of the equation

The line and parabola will not intersect at any point will shown in graph below. There is no solution of non linear equation. The system has no solution.

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Solve the nonlinear system of equations by
graphing:
$\{\begin{cases} 3 y^{2} - x = 0 \\ y = - 2 x - 1 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Form of the graph

Step 3. Graph of the equation

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Solve the nonlinear system of equations bygraphing:3y2-x=0y=-2x-1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Form of the graph

Step 3. Graph of the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Probability and Statistics

Calculus

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the nonlinear system of equations by
graphing:
$\{\begin{cases} 3 y^{2} - x = 0 \\ y = - 2 x - 1 \end{cases}$