Question 1050220
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The sum of Teresa's and Cathy's weight is 118 pounds.  Teresa weighs 26 pounds more than Cathy. If Teresa's weight is T and Cathy's weight is C, write and solve a system of equations to represent this scenario.
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T + C = 118,   (1)
T - C =  26.   (2)

When you see two equations like these (1) and (2), ADD them immediately.

By doing it, you get

2T = 118 + 26 = 144.  Hence T = {{{144/2}}} = 72. It is Teresa weight, in pounds.

Knowing it, you can find Cathy's weight from (1):

C = 118 - T = 118 - 72 = 46 pounds.

<U>Answer</U>.  Teresa weight is 72 pounds.  Cathy's weight is 46 pounds.
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Solved.