How do you solve the equation $3 x + y = 6$ $3x + y = 6$ for x?

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How do you solve the equation $3 x + y = 6$ $3x + y = 6$ for x?

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Answer 1 · 2015-04-23T16:30:50

The solution is $x = \frac{6 - y}{3}$ $x=(6-y)/3$ or $x = 2 - \frac{y}{3}$ $x=2-y/3$ .

When solving such eqations you treat other unknowns (in this case $y$ $y$ as it was a constant). You move it to right side of the equation. So the full solution is:

$3 x + y = 6$ $3x+y=6$ You substract $y$ $y$ from both sides
$3 x = 6 - y$ $3x=6-y$ You divide both sides by 3
$x = \frac{6 - y}{3}$ $x=(6-y)/3$
Now you can either leave the solution as division or transform it to a substraction of a fraction from a whole number
$x = 2 - \frac{y}{3}$ $x=2-y/3$

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How do you solve the equation $3 x + y = 6$ $3x + y = 6$ for x?

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