Michael J. answered • 05/18/15
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Effective High School STEM Tutor & CUNY Math Peer Leader
-5x + 4y = 2 eq1
10x - 8y = 4 eq2
Multiply eq1 by 2. Keep eq2 the same.
-10x + 8y = 4 eq1
10x - 8y = 4 eq2
Add the two equations so that we can eliminate the x terms. But wait. By doing this, both coefficients of x and y will be zero. Therefore, the system does not have any solutions.
David W.
Michael has pointed out that these two equations (this system of equations) are parallel lines (they never intersect at one point).
Y = (5x + 2)/4 and Y = (10x -4)/8
Y = (5/4)x + 1/2 and Y = (5/4)x -1/2
The slopes are the SAME (meaning the lines are parallel). The X-intercepts are 1/2 and -1/2, respectively, so they are in fact different lines. (note that if they had the same slope and the same X-intercept, they would be the SAME LINE).
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05/18/15
Asterly S.
05/18/15