First, get rid of decimals:
0.2x - 0.4y = 0.6
-0.8x + 1.6y = -2.4 |
10 10 |
2x - 4y = 6
-8x - 16y = -24 |
Next, multiply the second equation by 1/4 to eliminate x:
2x - 4y = 6
-8x - 16y = -24 |
(-1) |
2x - 4y = 6
-2x - 4y = -6 |
Adding gives 0 = 0, showing that the two equations are equivalent. To obtain the general solution, To obtain the general solution, solve the first equation for x, and take y to be arbitrary:
x = 3 + 2y
y is arbitrary |
Enter this as (3 + 2y, y).
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