Answer
No solution.
Work Step by Step
First equation $3x+y=3$.
Plug $y=0$ into the equation.
$\Rightarrow 3x+(0)=3$
$\Rightarrow 3x=3$
$\Rightarrow \frac{3x}{3}=\frac{3}{3}$
$\Rightarrow x=1$
$x−$ intercept $A=(1,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 3(0)+y=3$
$\Rightarrow y=3$
$y−$ intercept $B=(0,3)$.
Second equation $6x+2y=12$.
Plug $y=0$ into the equation.
$\Rightarrow 6x+2(0)=12$
$\Rightarrow 6x=12$
$\Rightarrow \frac{6x}{6}=\frac{12}{6}$
$\Rightarrow x=2$
$x−$ intercept $A=(2,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 6(0)+2y=12$
$\Rightarrow 2y=12$
$\Rightarrow \frac{2y}{2}=\frac{12}{2}$
$\Rightarrow y=6$
$y−$ intercept $B=(0,6)$.
Draw two lines using intercept points.
Both lines are parallel.
Hence, we have no solution.
