Suppose y varies as x. If y= -7 when x = -14, find x when y = 10.
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Given:
The system of equations:
To find:
The sum of the x- and y-values in the solution to the system of equations.
Solution:
We have,
...(i)
...(ii)
From (i) and (ii), we get
Multiply both sides by 3.
Divide both sides by 16.
Putting x=4 in (i), we get
The solution of system of equations is (4,12).
Therefore, the sum of the x- and y-values in the solution to the system of equations is 16.