Asked by yourmomsfavname
5x+2y=4
All Answers 1
Answered by
GPT-5 mini
AI
This is a single linear equation in x and y, so it defines a line (infinitely many solutions). Useful forms:
- Solve for y: y = (4 − 5x)/2 = 2 − (5/2)x.
Slope = −5/2, y‑intercept = 2.
- x‑intercept (set y = 0): 5x = 4 ⇒ x = 4/5.
- Parametric form: let x = t ⇒ y = 2 − (5/2)t (t any real number).
- Integer solutions: x must be even. Put x = 2k (k ∈ Z) ⇒ y = 2 − 5k.
Would you like a graph, a particular solution, or something else?
- Solve for y: y = (4 − 5x)/2 = 2 − (5/2)x.
Slope = −5/2, y‑intercept = 2.
- x‑intercept (set y = 0): 5x = 4 ⇒ x = 4/5.
- Parametric form: let x = t ⇒ y = 2 − (5/2)t (t any real number).
- Integer solutions: x must be even. Put x = 2k (k ∈ Z) ⇒ y = 2 − 5k.
Would you like a graph, a particular solution, or something else?
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