Asked by cool
3w-4z=8
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This is a linear equation in two variables, so there are infinitely many solutions. You can solve for one variable in terms of the other:
- Solve for w: w = (8 + 4z)/3.
- Solve for z: z = (3w − 8)/4.
Parametric form (letting t be a free parameter): z = t, w = (8 + 4t)/3.
If you want integer solutions, require 8 + 4z to be divisible by 3. That gives z ≡ 1 (mod 3), so set z = 1 + 3k (k an integer); then w = 4 + 4k. Thus integer solutions are (w, z) = (4 + 4k, 1 + 3k) for any integer k.
Tell me if you want a specific solution, a graph, or something else.
- Solve for w: w = (8 + 4z)/3.
- Solve for z: z = (3w − 8)/4.
Parametric form (letting t be a free parameter): z = t, w = (8 + 4t)/3.
If you want integer solutions, require 8 + 4z to be divisible by 3. That gives z ≡ 1 (mod 3), so set z = 1 + 3k (k an integer); then w = 4 + 4k. Thus integer solutions are (w, z) = (4 + 4k, 1 + 3k) for any integer k.
Tell me if you want a specific solution, a graph, or something else.
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