Linear Equations In Exercises 1-6, determine whether the equation is linear in the variables
Whether the equation
Answer to Problem 1CR
Solution:
The equation
Explanation of Solution
Given:
The provided equation is
Definition used:
Linear Equation in n variables:
A linear equation in n variables
Calculation:
Consider
We know that the linear equation is of the form
The given equation is
Here we see that the power of y is 2.
Thus the given equation is not linear in y.
Final statement:
Therefore the equation
Want to see more full solutions like this?
Chapter 1 Solutions
Elementary Linear Algebra (MindTap Course List)
- In Exercises 1-6, determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not. 1.arrow_forwardFill in the blanks. A conditional linear equation has ____ root.arrow_forwardProjectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL