Question

Using the matrix solver on your calculator, find the solution to the system of equations shown below.

5x+5y=20
2x+2y=8

Options:
A. x = 5, y = 5
B. x = 2, y = 2
C. No solution
D. More than 1 solution

Answer 1

the system has no solution. Letter "C"

Explanation:

In order to solve this system we will multiply the first equation by "-2" and the second by "5". We have:

5*x + 5*y = 20 *(-2)

2*x + 2*y = 8 *(5)

-10*x -10*y = -40

10*x + 10*y = 40

We now sum both equations:

0 + 0 = 0

Since all the variables got cancelled by the sum the system has no solution. Letter "C".