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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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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.
The given equation can be simplified to 2x + 3y = 6 but that is about it. Given 2 unknown variables (x and y) you need two independent equations to solve for them. The only other thing you can so with the above equation is to express y in terms of x : y = (6 - 2x)/3 = 2 - 2x/3 or x in terms of y: x = (6 - 3y)/2 = 3 - 3y/2 Both different (and possibly clumsier) ways of saying the same thing as the original equation.