Answer
$(-2,8)$
Work Step by Step
The given system of equations is
$\Rightarrow y=3x+14$ ...... (1)
$\Rightarrow y=-4x$ ...... (2)
Substitute $-4x$ for $y$ in equation (1).
$\Rightarrow -4x=3x+14$
Subtract $3x$ from each side.
$\Rightarrow -4x-3x=3x+14-3x$
Simplify.
$\Rightarrow -7x=14$
Divide each side by $-7$.
$\Rightarrow \frac{-7x}{-7}=\frac{14}{-7}$
Simplify.
$\Rightarrow x=-2$
Substitute $-2$ for $x$ in equation (2).
$\Rightarrow y=-4(-2)$
Simplify.
$\Rightarrow y=8$
Check
Equation (1)
$\Rightarrow y=3x+14$
$\Rightarrow 8=3(-2)+14$
$\Rightarrow 8=-6+14$
$\Rightarrow 8=8$
True.
Check
Equation (2)
$\Rightarrow y=-4x$
$\Rightarrow 8=-4(-2)$
$\Rightarrow 8=8$
True.
Hence, the solution is $(-2,8)$.
