Answer
The system of linear equations has infinitely many solutions.
Work Step by Step
The given system of equations is
$15x-5y=-20$ ...... (1)
$-3x+y=4$ ...... (2)
Multiply equation (2) by $5$.
$5(-3x+y)=5(4)$
Use distributive property.
$-15x+5y=20$ ...... (3)
Add equation (1) and (3).
$\Rightarrow 15x-5y-15x+5y=-20+20$
Add like terms.
$\Rightarrow 0=0$
The equation $0=0$ is always true.
Hence, the system of linear equations has infinitely many solutions.
