Yes, the expression (3y - 6 - 6) simplifies to (3y - 12), which is not equivalent to (3y). Therefore, (3y - 6 - 6) is not equivalent to (3y).
Express one variable in terms of the other. 3Y - 4J = 9 3Y = 4J + 9 Y = (4J + 9)/3 ------------------------ insert back into original equation 3(4J + 9)/3 = 9 you see the 3 factors cancel 4J + 9 = 9 4J = 0 J = 0 -------------you have J 3Y - 4(0) = 9 3Y = 9 Y = 3 ----------------one set of solutions to this problem
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7x-3y=21 Think of it this way. Block 3y or multiply 3(0)=0. Then you get: 7x=21 X=3 In vice versa, block 7x or multiply 7(0)=0 and look at: 3y=21 Y=7 So an ordered pair is (x,y) Thus, you get (3,7)
g(3y) can be any function: it is not defined by the question.
2x - 3y = 4This can't be solved, although you can express each variable in terms of the other.x = (4-3y)/2y = (2x-4)/3
x = 3y x - 3y = 3y - 3y x - 3y = 3y - 3y x - 3y = 0
3y +3y = 6y
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
The equation for 3y + 3y = -1 is 3y + 3y = -1.
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Express one variable in terms of the other. 3Y - 4J = 9 3Y = 4J + 9 Y = (4J + 9)/3 ------------------------ insert back into original equation 3(4J + 9)/3 = 9 you see the 3 factors cancel 4J + 9 = 9 4J = 0 J = 0 -------------you have J 3Y - 4(0) = 9 3Y = 9 Y = 3 ----------------one set of solutions to this problem
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-3X + 3Y = 6 3Y = 3X + 6 Y = X + 2 slope(m) = 1 Y intercept = 2 Another way to find Y intercept is to 0 out X in first equation -3(0) + 3Y = 6 3Y = 6 Y = 2
(3y2 - 3y)/(y - 1) = 3y(y - 1)/(y - 1) = 3y
3(2x + 3y)(2x - 3y)