In Exercises 1–6, graph the given equations and determine how many solutions the system has, if any.
To graph: The system of equations consisting of
Explanation of Solution
Given Information:
The system of equations is;
Graph:
Consider the equations,
Rewrite the given equations,
Use the graphing calculator to determine the solution of the given system of equation,
Step 1: In the TI-83 calculator press the ON key.
Step 2: Click on the
Step 3: Write the desired equation in
Step 4: Press the
Step 5: Press the
The graph is shown below;
From the graph, it can be observed that the graphs of the system of equation intersect at a single point.
Interpretation:
As the graphs of the equation intersect at a single point there is a unique solution for the given system of equation.
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Chapter 4 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- In Exercises 3–6, solve each system by graphing. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3. x + y = 5 3x - y = 3 4. [3x – 2y = 6 16x – 4y = 12 3 y 6. [y = -x + 4 |3x + 3y = -6 5. 5h 2х — у %3D — 4arrow_forwardShow all work to verify if the given point is a solution to the system of equations.arrow_forwardIn Problems 19–56, solve each system of equations. If the system has no solution, say that it is inconsistent. For Problems 19–30, graphthe lines of the systemarrow_forward
- By setting up and solving an appropriate system of linear equations, determine whether there is a parabola that passes through the points (-1,2), (0, –1), and (1,3). 2.arrow_forwardDetermine the value(s) of k such that the linear system has the indicated number of solutions.arrow_forward1) Find the general solution of the linear system. x = -5 6-4 X.arrow_forward
- solve th e given system 2x + y = -1 , 5x + 3y = 2arrow_forward1–16, use the graphing approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent. If the system is consistent, find the solution set from the graph and check it. (2x - y=9) (4x - 2y=11) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forwardWhich of the systems of equations below is equivalent to the system shown?arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning