Question

The graphs of the equations $y=3x-20$ and $y=-2x+10$ intersect at the point $(6,-2)$. Without solving, find the solution of the equation $3x-20=-2x+10$.

Answer 1

Answer:

The solution is

$\boxed{x=6,y=-2}$

Step-by-step explanation:

The given equations are

$y=3x-20$

and

$y=-2x+10$

The graph of the two equations intersects at $(6,-2)$ as show in the graph in the attachment.

The point of intersection of the two graphs is the solution to system of equations.

Hence the solution is

$x=6,y=-2$