solve the following system of equations: x + y = 6, and y = 2x?
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x + 2x = 6
Now solve for X. Once you have X, you can solve for Y.
x+ y =6 can also written as:
x+ 2x = 6
then gather up the Xs
3x= 6
x= 6/3
x= 2
Proof if x =2:
y= 2x
y = 2(2)
y = 4
if y =4 and x = 2
x + y = 6
2+ 4 is equal to 6
x + y = 6
y = 2x
You know that y is equal to 2x so substitute 2x for y in the first equation.
x + 2x = 6
Then combine like terms
3x = 6
Now get x by itself by dividing 6 by 3
x = 2
Ok now you know x = 2, so substitute 2 for x in the first equation ( you could substitute it into either equation, I just chose the first one)
2 + y = 6
now get y by itself by subtracting 2 from 6
y = 4
here are your answers:
x = 2 and y = 4
x + (2x) = 6
add like terms
3x=6
get x by itself by dividing both sides by 3
x = 2
then put the answer for x back into one of the 2 equations.
y = (2)2 =4
or 2 + y =6 subtracting 2 from both sides to get y by itself
y = 4
y = 2x — (2)
Substitute (2) into (1)
x + 2x = 6
3x = 6
x = 6 / 3
x = 2 — (3)
Substitute (3) into (2)
y = 2x
y = 2 (2)
y = 4
So, x = 2 & y = 4
substitute the y in the second equation for y=6-x
6-x=2x
3x=6
x=2
x + 2x+6
3x=6
x=2
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