Architecture

# Parallel Lines Have How Many Solutions To Systems Of Linear Equations

A solution to a system of linear equations is the place where the two lines, if you graph them, cross.

You are watching: Parallel lines have how many solutions

Parallel lines do not ever cross. So there”s zero solutions.

However!! There”s a tiny, tiny chance this could be a trick question. Because often, the equation of two lines that look parallel are actually the same line, in which case the system will produce an infinite number of solutions.

The way to be sure is just to pick an x value completely at random, put it into both equations, and see if the answers are equal. If it”s really two parallel lines, they won”t be. If they”re secretly the same line and the whole thing is a trap, then they will, as will any random number you come up with to put in for x.

Upvote • 1 Downvote
More
Report

## Still looking for help? Get the right answer, fast.See more: What Debt Did The Romans Owe To The Ancient Greek S Conquered The Romans?

Get a free answer to a quick problem. Most questions answered within 4 hours.

OR
Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

### RELATED TOPICS

Math Calculus Geometry Precalculus Trigonometry Probability Word Problem Equations Functions Word Problems … Algebra Help College Algebra Algebra Equation Math Help Algebra Word Problem Math Word Problem Algebra 2 Question Algebra 1 Word Problem Math Help For College Algebra 2 Help

### RELATED QUESTIONS

how to do I make a graph?

How do I know my answer?

how do you solve 8x+32/x^2-16

12p+15c>360

12p+15c>360

Douglas Z.

5.0 (1,609)

Jeremy K.

5.0 (693)

Cindy G.

5.0 (223)
See more tutors

### related lessons

Please provide a valid phone number.
Get to know us
Learn with us
Work with us
Let’s keep in touch
Need more help?