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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
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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

User Ssokolow
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2 Answers

1 vote

Answer: D,B,B,C,D,A,C,B,D, (A-D)

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Explanation:

User Mifmif
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0 votes
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.
User KimKulling
by
8.2k points
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