Answer
(1,2)
Work Step by Step
We first write the equations in standard form, where the variables are isolated from the constants:
0x + 2y = 4
x + 2y = 5
We can then take the determinant of the variables from D=
| 0 2|
| 1 2|
which would be 0*2 - 1*2 = -2
*Note: The determinant of a matrix
|a b|
|c d|
can be calculated as a*d - b*c
To get the determinant of the x side, our matrix is
Dx =
| 4 2|
| 5 2|
which would be 4*2 - 5*2 = -2
To get the determinant of the y side, our matrix is
Dy =
| 0 4|
| 1 5|
which would be 0*5 - 4*1 = -4
To get x, we take Dx/D = -2/-2 = 1
To get y, we take Dy/D = -4/-2 = 2.
Therefore our ordered pair solution is (1,2)
