SOLUTION: yA and yB represent continuous linear relations. Some values from the relations are shown in the table below. Solve the equation. x yA yB -8

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Question 1039682: yA and yB represent continuous linear relations. Some values from the relations are shown in the table below. Solve the equation.

x yA yB
-8 -5 -15
-3 -6 -11
Answer by solver91311(24713) About Me  (Show Source):
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For relation A you have the ordered pairs (-8,-5) and (-3,-6)

Using the two-point form:



where and are the coordinates of the given points.

We get




Which simplifies to:



In a similar fashion, linear relation B can be expressed as:



Solve the 2X2 system by any convenient method. Elimination is very convenient because of the additive inverse relationship between the coefficients on . In point of fact, a clever arithmetician can do the Elimination method just by inspection. But Cramer's Rule works just as well.

John

My calculator said it, I believe it, that settles it