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Solve the following system using any method. 5x - 2y = -16 3x + 5y = -22 (7, 2) (-4,-2) (4, 6) No solution. The system is inconsistent. Infinite number of solutions. The system is dependent.
Thanks in advance guys!!! :)
5x - 2y = -16 3x + 5y = -22 OK for this two ways, well actually 3. First, put in x and y into both equations and see if it works. Do you know elimination?
Well... eliminate either x or y by making the values of them in both equations the same. So for this one, I will eliminate x. The LCM of 5 and 3 is 15. In both equations we want 15x. Multiply the first equation by 3, and the second by 5 to get: 15x - 6y = -48 15x + 25y = -110 Now Subtract one from the other: 15x - 6y - (15x + 25y) = -48 -(-110) -31y = 62 y = -2 Now substitute y = -2 into any of the first equations. I'll choose eq 1 3x + 5(-2) = -22 3x - 10 = -22 3x = -12 x = -4 And there you have it
Thank you so much!!! :)
Your welcome. Do you know the other method? Substitution?
Or you could use matrices...
so much for your help! :)
matrices? what dat? @Dido525
Never mind then :P . Wait till linear algebra.