Can You Solve These Linear Equations for Variables a and w0?

[manal950]

Hi all ..

How I can solve this two equations to get a and w0 ... ?
12 .5 = W0 + 10a ====== 1
20 = 10W0 + 5a ======= 2

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this my trying ...
first I will multiply first equation with (-10) to remove the W0 then I will add both ..
-125 = -10W0 - 100 a
20 = 10W0 + 5a
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-105 = -95 a
a = 1.1

is that correct ... ?

 

[dikmikkel]

Either you can isolate a in one of them and insert a in the other to isolate W0.
Or you could substract 2 times the equation below from the above yielding:
$12.5-40 = W_0 - 20W_0 +10a -10a$
Then a should be easy(insert W0)

 

[azizlwl]

Correct. Called Gaussian Elimination.

 

[manal950]

thanks so much ..