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Answer:
e. 7x -y = -5
Step-by-step explanation:
Rearranging the first equation to general form, we have ...
7x -2 = 0 . . . . subtract 5 from both sides
Rearranging the second equation to general form, we have ...
y -7 = 0 . . . . . subtract 6 from both sides
Now, we can equate these expressions for 0:
7x -2 = y -7
Subtracting y gives ...
7x -y -2 = -7
and adding 2 gives the standard form equation ...
7x -y = -5 . . . . matches choice E
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Comment on the question
Mathematically, there is no good reason to do this. It seems to be simply an exercise in manipulating equations.
Here, we subtracted the y-equation from the x-equation to get the final result. There are many other ways an expression for "0" can be used to combine these equations.
