SOLUTION: Please help with these difficult homework problems: 1. Find the intersection point of the two straight lines: 3x - 4y = 5 and 2x + 3y =1. Answer in lowest terms. 2. In the x-

Algebra ->  Linear-equations -> SOLUTION: Please help with these difficult homework problems: 1. Find the intersection point of the two straight lines: 3x - 4y = 5 and 2x + 3y =1. Answer in lowest terms. 2. In the x-      Log On


   



Question 458297: Please help with these difficult homework problems:
1. Find the intersection point of the two straight lines: 3x - 4y = 5 and 2x + 3y =1. Answer in lowest terms.
2. In the x-y coordinate system, the equation y = 5 represents
(A) A point on the x-axis.
(B) A point on the y-axis.
(C) A vertical line.
(D) A horizontal line.
5. (2 points) Use the Gauss-Jordan elimination method to solve the system. Enter answer in the form
(x,y,z). DO NOT use any other method. On the test you will be asked to show all steps.
{x + 2y - 3z = -5
{x + 4y - 7z = -13
{x - y + 2z= 1

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I will just do #2.
%28matrix%283%2C4%2C1%2C2%2C-3%2C-5%2C1%2C4%2C-7%2C-13%2C1%2C-1%2C2%2C1%29%29
~ %28matrix%283%2C4%2C1%2C2%2C-3%2C-5%2C0%2C1%2C-2%2C-4%2C0%2C1%2C-5%2F3%2C-2%29%29, after doing -R1 + R2 and -R1 + R3
~%28matrix%283%2C4%2C1%2C2%2C-3%2C-5%2C0%2C1%2C-2%2C-4%2C0%2C0%2C1%2F3%2C2%29%29, after doing -R2 + R3
~%28matrix%283%2C4%2C1%2C2%2C-3%2C-5%2C0%2C1%2C-2%2C-4%2C0%2C0%2C1%2C6%29%29, after 3R3.
~%28matrix%283%2C4%2C1%2C2%2C-3%2C-5%2C0%2C1%2C0%2C8%2C0%2C0%2C1%2C6%29%29after 2R3 + R2
~%28matrix%283%2C4%2C1%2C0%2C0%2C-3%2C0%2C1%2C0%2C8%2C0%2C0%2C1%2C6%29%29, after 3R3 + R1 and -2R2 + R1
Hence x = -3, y = 8, and z = 6.