Mathematics: 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 $3x-20=-2x+10$.

The graphs of the equations $y=3x-20$ and $y=-2x+10$

mikey8510

09.03.2022

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

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