Answer
{(x,y)|3x+y=1}
Work Step by Step
$3x+y=1$
$2y=2-6x$
Use substitution to solve for x and y.
Isolate y in the first equation.
$3x+y=1\longrightarrow$ Subtract 3x from both sides.
$3x+y-3x=1-3x\longrightarrow$ Simplify.
$y=1-3x$
Substitute for y in the second equation.
$2(1-3x)=2-6x\longrightarrow$ Apply the distributive property.
$2-6x=2-6x$
Since the above statement is always true, the solution set for (x,y) contains every pair of values that satisfy either of the equations.
