 7.4.1: In Exercises 1 18, solve each system by the substitution method.
 7.4.2: In Exercises 1 18, solve each system by the substitution method.
 7.4.3: In Exercises 1 18, solve each system by the substitution method.
 7.4.4: In Exercises 1 18, solve each system by the substitution method.
 7.4.5: In Exercises 1 18, solve each system by the substitution method.
 7.4.6: In Exercises 1 18, solve each system by the substitution method.
 7.4.7: In Exercises 1 18, solve each system by the substitution method.
 7.4.8: In Exercises 1 18, solve each system by the substitution method.
 7.4.9: In Exercises 1 18, solve each system by the substitution method.
 7.4.10: In Exercises 1 18, solve each system by the substitution method.
 7.4.11: In Exercises 1 18, solve each system by the substitution method.
 7.4.12: In Exercises 1 18, solve each system by the substitution method.
 7.4.13: In Exercises 1 18, solve each system by the substitution method.
 7.4.14: In Exercises 1 18, solve each system by the substitution method.
 7.4.15: In Exercises 1 18, solve each system by the substitution method.
 7.4.16: In Exercises 1 18, solve each system by the substitution method.
 7.4.17: In Exercises 1 18, solve each system by the substitution method.
 7.4.18: In Exercises 1 18, solve each system by the substitution method.
 7.4.19: In Exercises 19 28, solve each system by the addition method.
 7.4.20: In Exercises 19 28, solve each system by the addition method.
 7.4.21: In Exercises 19 28, solve each system by the addition method.
 7.4.22: In Exercises 19 28, solve each system by the addition method.
 7.4.23: In Exercises 19 28, solve each system by the addition method.
 7.4.24: In Exercises 19 28, solve each system by the addition method.
 7.4.25: In Exercises 19 28, solve each system by the addition method.
 7.4.26: In Exercises 19 28, solve each system by the addition method.
 7.4.27: In Exercises 19 28, solve each system by the addition method.
 7.4.28: In Exercises 19 28, solve each system by the addition method.
 7.4.29: In Exercises 29 42, solve each system by the method of your choice.
 7.4.30: In Exercises 29 42, solve each system by the method of your choice.
 7.4.31: In Exercises 29 42, solve each system by the method of your choice.
 7.4.32: In Exercises 29 42, solve each system by the method of your choice.
 7.4.33: In Exercises 29 42, solve each system by the method of your choice.
 7.4.34: In Exercises 29 42, solve each system by the method of your choice.
 7.4.35: In Exercises 29 42, solve each system by the method of your choice.
 7.4.36: In Exercises 29 42, solve each system by the method of your choice.
 7.4.37: In Exercises 29 42, solve each system by the method of your choice.
 7.4.38: In Exercises 29 42, solve each system by the method of your choice.
 7.4.39: In Exercises 29 42, solve each system by the method of your choice.
 7.4.40: In Exercises 29 42, solve each system by the method of your choice.
 7.4.41: In Exercises 29 42, solve each system by the method of your choice.
 7.4.42: In Exercises 29 42, solve each system by the method of your choice.
 7.4.43: The sum of two numbers is 10 and their product is 24. Find the numb...
 7.4.44: The sum of two numbers is 20 and their product is 96. Find the numb...
 7.4.45: The difference between the squares of two numbers is 3. Twice the s...
 7.4.46: The difference between the squares of two numbers is 5. Twice the s...
 7.4.47: In Exercises 47 52, solve each system by the method of your choice.
 7.4.48: In Exercises 47 52, solve each system by the method of your choice.
 7.4.49: In Exercises 47 52, solve each system by the method of your choice.
 7.4.50: In Exercises 47 52, solve each system by the method of your choice.
 7.4.51: In Exercises 47 52, solve each system by the method of your choice.
 7.4.52: In Exercises 47 52, solve each system by the method of your choice.
 7.4.53: The system, whose graphs are a line with positive slope and a parab...
 7.4.54: The system, whose graphs are a line with negative slope and a parab...
 7.4.55: A planet s orbit follows a path described by A comet follows the pa...
 7.4.56: A system for tracking ships indicates that a ship lies on a path de...
 7.4.57: Find the length and width of a rectangle whose perimeter is 36 feet...
 7.4.58: Find the length and width of a rectangle whose perimeter is 40 feet...
 7.4.59: A small television has a picture with a diagonal measure of 10 inch...
 7.4.60: The area of a rug is 108 square feet and the length of its diagonal...
 7.4.61: The figure shows a square floor plan with a smaller square area tha...
 7.4.62: The area of the rectangular piece of cardboard shown below is 216 s...
 7.4.63: The bar graph shows that compared to a century ago, work in the Uni...
 7.4.64: What is a system of nonlinear equations? Provide an example with yo...
 7.4.65: Explain how to solve a nonlinear system using the substitution meth...
 7.4.66: Explain how to solve a nonlinear system using the addition method. ...
 7.4.67: Verify your solutions to any five exercises from Exercises 1 42 by ...
 7.4.68: Write a system of equations, one equation whose graph is a line and...
 7.4.69: I use the same steps to solve nonlinear systems as I did to solve l...
 7.4.70: I graphed a nonlinear system that modeled the orbits of Earth and M...
 7.4.71: Without using any algebra, it s obvious that the nonlinear system c...
 7.4.72: I think that the nonlinear system consisting of and is easier to so...
 7.4.73: A system of two equations in two variables whose graphs are a circl...
 7.4.74: A system of two equations in two variables whose graphs are a parab...
 7.4.75: A system of two equations in two variables whose graphs are two cir...
 7.4.76: A system of two equations in two variables whose graphs are a parab...
 7.4.77: The points of intersection of the graphs of and are joined to form ...
 7.4.78: Find and in this figure.
 7.4.79: Solve the systems in Exercises 79 80
 7.4.80: Solve the systems in Exercises 79 81
 7.4.81: Exercises 81 83 will help you prepare for the material covered in t...
 7.4.82: Exercises 81 83 will help you prepare for the material covered in t...
 7.4.83: Exercises 81 83 will help you prepare for the material covered in t...
Solutions for Chapter 7.4: Systems of Nonlinear Equations in Two Variables
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 7.4: Systems of Nonlinear Equations in Two Variables
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845. Chapter 7.4: Systems of Nonlinear Equations in Two Variables includes 83 full stepbystep solutions. Since 83 problems in chapter 7.4: Systems of Nonlinear Equations in Two Variables have been answered, more than 67318 students have viewed full stepbystep solutions from this chapter.

Aphelion
The farthest point from the Sun in a planet’s orbit

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Focus, foci
See Ellipse, Hyperbola, Parabola.

Horizontal component
See Component form of a vector.

kth term of a sequence
The kth expression in the sequence

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Response variable
A variable that is affected by an explanatory variable.

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Transformation
A function that maps real numbers to real numbers.

Variation
See Power function.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

xzplane
The points x, 0, z in Cartesian space.