Question #a7add

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Question #a7add

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Answer 1 · 2017-04-14T07:00:13

The system is inconsistent.

Explanation:

Assuming that the equations are:

$5 x - 2 y = 3$ $5x-2y=3$
$- 20 x + 8 y = 6$ $-20x+8y=6$

Write the lines in slope intercept form of: $y = m x + b$ $y=mx+b$ , where m is the slope and b is the y-intercept:

$2 y = 5 x - 3$ $2y=5x-3$
$8 y = 20 x + 6$ $8y=20x+6$

$y = (\frac{5}{2}) x - \frac{3}{2}$ $y=(5/2)x-3/2$
$y = (\frac{5}{2}) x + \frac{3}{4}$ $y=(5/2)x+3/4$

Notice that the lines have the same slope but different y-intercepts, therfore the 2 lines are parallel, they do not intersect so this system has no solution. Hence the system is inconsistent.

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