solve by using a matrix

Question

5x-6y=-8 

 

3x-y=3

Answer 1

5x - 6y = -8
3x - y = 3

 

| 5 -6 | -8 |

| 3 -1 |  3 |

 

Add to top row -6 times the bottom row.

 

| -13  0 | -26 |
|   3  -1 |    3 |

 

Divide top row by -13.

 

|  1   0 |  2 |

|  3  -1 |  3 |

 

Top row says x = 2

Bottom row:  3(2) - y = 3 

y = 3

 

Test the solution.