SOLUTION: Im trying to help my son out and i have no clue how to do these problems. Please help!! HJ = x and IK = 2x

SOLUTION: Im trying to help my son out and i have no clue how to do these problems. Please help!! HJ = x and IK = 2x - 7 And HJ = 3x +5 and IK= 5x-9

Question 703167: Im trying to help my son out and i have no clue how to do these problems. Please help!!
HJ = x and IK = 2x - 7
And
HJ = 3x +5 and IK= 5x-9
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Although it is not clear,
I assume you are listing parts of two different problems.
There must be clues, probably in a figure that goes with the problem.
I do not see the picture that must be part of the problems, so I can only guess.
I imagine there is a rectangle HIJK.
Maybe the angles are marked with little squares to indicate they are right angles,
or maybe there is something else that indicates HIJK is a a rectangle.
That would be the clue.
If HIJK is a rectangle, the lengths of diagonals HJ and IK are the same.

HJ = x and IK = 2x - 7
If geometry tells you that the lengths of HJ and IK are the same, you could write
and that is now an algebra problem.
Subtract from both sides of the equal sign to get
Add to both sides to get

HJ = 3x +5 and IK= 5x-9
If geometry tells you that the lengths of HJ and IK are the same, you could write
and that is now an algebra problem.
Subtract from both sides of the equal sign to get
Add to both sides to get
Divide both sides by to get
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