Answer:
[tex]\large\boxed{x=2\ and\ y=0}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}-14=-20y-7x\\10y+4=2x&\text{subtract 10y from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-14=-20y-7x\\4=-10y+2x&\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-14=-20y-7x\\-8=20y-4x\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-22=-11x\qquad\text{divide both sides by (-11)}\\.\qquad2=x\to\boxed{x=2}\\\\\text{Put the value of x to the second equation}\\10y+4=2(2)\\10y+4=4\qquad\text{subtract 4 from both sides by 10}\\\boxed{y=0}[/tex]
