TomiW
TomiW
28-07-2016
Mathematics
contestada
solve the simultaneous equations: 2x+3y=10
x-y=5
Respuesta :
jacefreeny2
jacefreeny2
28-07-2016
Well first you would like to get like variables on each side for just one variable. for example:
2x + 3y = 10 and x - y = 5
You would change the x - y so that way the x variable would be isolated:
x = 5 + y
Now you must substitute the 5 + y into the other equation for x:
2(5 + y) + 3y = 10
10 + 2y + 3y = 10
Combine like terms 5y + 10 = 10
In this case it would be insolvable because it would change to 5y = 0
So let's try the other equation.
2x + 3y = 10
5y = 10
y = 2
Now substitute this into the other equation:
x - 2 = 5
x = 7
There is your two answers.
x = 7 and y = 2
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