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

Respuesta :

Answer:

The solution is

[tex]\boxed{x=6,y=-2}[/tex]

Step-by-step explanation:


The given equations are


[tex]y=3x-20[/tex]


and

[tex]y=-2x+10[/tex]


The graph of the two equations intersects at [tex](6,-2)[/tex] 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

[tex]x=6,y=-2[/tex]

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