Ask Question
15 October, 09:45

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply.

A) 2y = 1.5x - 2

B) 2y = 1.5x - 1

C) 3x + 4y = 2

D) - 4y + 3x = - 2

+4
Answers (1)
  1. 15 October, 13:25
    0
    Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,

    y = mx + b

    where m is slope and b is the y-intercept.

    Given: 3x - 4y = 2

    Slope-intercept: y = 3x/4 - 1/2

    A. 2y = 1.5x - 2

    Slope-intercept: y = 3x/4 - 1

    B. 2y = 1.5x - 1

    Slope-intercept: y = 3x/4 - 1/2

    C. 3x + 4y = 2

    Slope-intercept: y = - 3x/4 + 1/2

    D. - 4y + 3x = - 2

    Slope-intercept: y = 3x/4 + 1/2

    Hence, the answers to this item are A and D.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply. A) ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers