y = x -2 ......(1)
y= 3x + 4 ......(2)
(2) - (1)
0 = 3x + 4 -x + 2
=> 2x = -6
=> x = -3
y = x-2 = -5
1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+ w = 10 x- 4y + 32+ w = -5 -x- y+ 2+ 4w = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is ). (Type integers or simplified fractions.) O B. There are infinitely many solutions. The solutions are ( (Type integers or simplified fractions.)...
Show that the system of equations has no solution. (3x + y + 3z = 3 4x - y + 2z = 4 x-2y - z=0 Why does the system have no solution? Choose the correct answer beow. O A. Solving the system of equations results in a false statement. Therefore, the system has no solution. B. Solving the system of equations results in a true statement. Therefore, the system has no solution. OC. A system of three linear equations...
A is the point (-1, 5). Let (x, y) be any point on the line y = 3x. a Write an equation in terms of x for the distance between (x, y) and A(-1,5). b Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (-1,5). c Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (-1,5). d Find the coordinates...
5. Consider the system of equations: 2 - Y + 2z = 4 3x - 2y + 92 = 14 2. - 4y + az = b. Find all the values of a and b so that the system has a) no solution b) 1 solution e) exactly 3 solutions and 4) infinitely many solutions.
#5 Determine for which values of the system 3x + 2y x + y +z = 2x + 2y + Az has: 4 p. a) one solution; 4 p. b) no solution. 4 p. c) infinitely many solutions;
number 2 x + 3y - 9= 0 b) perpendicular on the line 3x + y + 9 = 0 2. Find the area of the triangle with vertices at the points (6, 7),(-4, 4) and (8, -7).
Using matrix algebra, find a general solution to the following system of equations x' = 3x - 4y and y' = 4x - 7yUsing matrix algebra, find a general solution to the following system of equations: x' = 3x - 4y y' = 4x - 7y The general solution functions are: ( use c1 and c2 as the constants and enter the elements of the eigenvectors as the lowest integer values. If one element of an eigenvector has a negative value enter the first element...
4. a. Which choice is a simultaneous solution of these two equations: 3x + 4y = 10 and 5x + 4y = 14 x = -1, y = -2 x = 2, y = 1 y=2x x=y x=1,y=2 b. Which choice is a simultaneous solution of these two equations: 30x + 40y = 100 and 50x + 40y = 140 x=-1,y=-2 x=2,y=1 y=2x x=y x=1,y=2 c. Which choice is a simultaneous solution of these two equations: 2x + y...
The equations of three lines are given below. Line 1: y=-3x+7 Line 2: 8x-6y=-4 Line 3: 4y=-3x+5 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular Neither