Answer:
x = -1/3 , y = 3/2
Step-by-step explanation:
Solve the following system:
{4 - 4 y = -2
-9 x - 4 y = -3
Express the system in standard form:
{0 - 4 y = -6
-9 x - 4 y = -3
Express the system in matrix form:
(0 | -4
-9 | -4)(x
y) = (-6
-3)
Write the system in augmented matrix form and use Gaussian elimination:
(0 | -4 | -6
-9 | -4 | -3)
Swap row 1 with row 2:
(-9 | -4 | -3
0 | -4 | -6)
Multiply row 1 by -1:
(9 | 4 | 3
0 | -4 | -6)
Divide row 2 by -2:
(9 | 4 | 3
0 | 2 | 3)
Divide row 2 by 2:
(9 | 4 | 3
0 | 1 | 3/2)
Subtract 4 × (row 2) from row 1:
(9 | 0 | -3
0 | 1 | 3/2)
Divide row 1 by 9:
(1 | 0 | -1/3
0 | 1 | 3/2)
Collect results:
Answer: {x = -1/3 , y = 3/2
