Question

What is the solution to the system of equations below?

Answer 1

$\left\{\begin{array}{ccc}y=-3x+5\\y=4x-2\end{array}\right\Rightarrow4x-2=-3x+5\\\\4x-2=-3x+5\ \ \ |+2\\\\4x=-3x+7\ \ \ |+3x\\\\7x=7\ \ \ \ |:7\\\boxed{x=1}\\\text{substitute the value of x to the first equation}\\y=-3(1)+5=-3+5=2\to\boxed{y=2}\\\\Answer:\ x=1;\ y=2\to(1;\ 2)$