University:
York University
Course:
MATH 1013 | Applied Calculus
Academic year:

2023
Views:

83

Pages:

2
Author:

Niklas

III. Systems of Equations (Ch. 7-287-3) I. IDENTIFYING SOLUTIONS GRAPHICALLY SYSTEMS OF 2 EQUATIONS: *** no solutions inconsistent one solution consistent, independent infinite solutions consistent, dependent II. IDENTIFYING SOLUTIONS GRAPHICALLY SYSTEMS OF 3 EQUATIONS: Solution is a point con./ind Solution is a line con./dep. no solutions inc. no solutions inc no solutions inc solution is a plane con./dep III. PROBLEM: x24-72-4 2x+y+z=13 3x+dy 362 33 (-32-10,52-7,2) x=72-24-4 x=72-2(52-7)-4 X=72-102-14-4 x=-32-10 2(72-24-4)+y+z=13 142-44-8ry-2-13 -34-152-21 4-52-7 y=52-7 IV. DEPENDENT SYSTEMS AND SOLUTIONS: 1. Suppose a system of equations is consistent, dependent and described as (10-2, 62-4,2). a. how many solutions does this system have? infinite b. find two specific points that are part of this solution (9,10,1), (8,16,2)3 2. What is the geometric shape represented by 3x+7x+2-10? a plane 3. What is the solution to the system of equations below? 41 3 2 レ (-2,-1) -6-5-4-3-2-1 1 2 3 4 -2 -5 -4 -5 4. Write a system of 3 equations with 3 variables that has a solution of (1,3,-6). x-y-2-4 L-x+y-2=8