If: 6y-3x = 18
Then: y = 0.5x+3 which is in slope-intercept form
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2X + 6Y = 12 3X + 9Y = 18 try elimination - 3(2X + 6Y = 12) 2(3X + 9Y = 18) - 6X - 18Y = - 36 6X + 18Y = 36 ================= I will say this system is dependent and an infinite number of solutions can be found.
y-3x+6y=12 7y=3x+12 y=3x/7 +12/7
3x-6y=12; subtract 12 & add 6y to both sides 3x-12=6y; divide by 6 (1/2)x-2=y; re-write y=(1/2)x-2 slope intercept form
3x - 6y = 9, 5x + 4y = -27 6x - 12y = 18, 15x + 12y = -81 21x = -63 x = -3 (3 x -3) = 9 + 6y (-9 - 9)/6 = y y = -3 Check: (5 x -3) + (4 x -3) = -15 -12 = -27 QED
1) y - 7y = 36 -6y = 36 y = -6 We know that, y = 3x -6 = 3x x= -2 Conclusion, y= -6, x = -2