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Chapter 11: Q. 345 (page 1160)

Solve the nonlinear system of equations by

graphing:

3y2-x=0y=-2x-1

Short Answer

Expert verified

The type of the given equation are line and parabola.

Step by step solution

01

Step 1. Given Information

Given that the equation is3y2-x=0y=-2x-1

02

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 3y2-x=0is parabola and y=-2x-1is line. On comparing the given equation with the standard form,

3y2-x=0x=3y2a=3,b=0,b=0y=-2x-1m=-2,b=-1

The standard form of 3y2-x=0is x=3y2andy=-2x-1isy=-2x-1.

03

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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