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what value of 'r' does the system of linear equations have infinite many solutioins?

 

x+6y=r-2x

2(x+4)+2y=11+1/2(16+2x)

 Nov 8, 2023
edited by srrw011  Nov 8, 2023
 #1
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ANSWER IS 33.

SOLVING THE EQ (2)\(\Rightarrow\)

     2(X+4)+2Y=11+1/2(16+2X)

\(\Rightarrow\)2X+8+2Y=11+8+X

\(\Rightarrow\)X+2Y=11 

\(\Rightarrow\)3X+6Y=33.

 

SOLVING THE EQ(1)\(\Rightarrow\)

    X+6Y=R-2X

\(\Rightarrow\)3X+6Y=R.

THE EQ ARE INFINITE SOLULTION WHEN 

a1/a2=b1/b2=c1/c2

HERE

3X/3X=6Y/6Y=33/R=1

SOLVING FOR R THEN, R=33.

cool

 Nov 8, 2023

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