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The lines x=(1/4)y+a and y=(1\4)x+b$ intersect at the point (1,2). What is a+b?

 Feb 15, 2019
 #1
avatar+667 
+3

1. We can plug in \((1,2)\) for both equations

 

\(x=\frac{1}{4}y+a\rightarrow 1=\frac{2}{4}+a\rightarrow\boxed{a=\frac{1}{2}}\)

 

\(y=\frac{1}{4}x+b\rightarrow2=\frac{1}{4}+b\rightarrow\boxed{b=\frac{7}{4}}\)

 

2. Then add:

 

\(\frac{1}{2}+\frac{7}{4}=\boxed{\frac{9}{4}}\)

 

That is the answer

 Feb 16, 2019
 #2
avatar+101872 
+2

Very nice, CU.....!!!!

 

A "Best Answer "

 

 

cool cool cool

CPhill  Feb 16, 2019

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