systems

y=9.65x+43    y=8.40x+58

Let's just set the equations equal

9.65x + 43  = 8.40x + 58      subtract 8.40x, 43 from both sides

1.25x  = 15      divide both sides by 1.25

x = 12

And we can use the first equation to find y

y = 9.65(12) + 43  =   

      115.8  +  43   =

       158.8

So....the solution is  {x , y}   = { 12, 158.8}

I assume you want to know what point the two equations intersect so I will show that through algebra.

$y=9.65x+43$

$y=8.40x+58$ or $y=8.4x+58$

$9.65x+43=8.4x+58$

$9.65x=8.4x+15$

$1.25x=15$

$x=12$

$y=8.4(12)+58$

$y=100.8+58$

$y=158.8$

The point that these two equations go through is the ordered pair $(12, 158.8)$

Here is the graph showing the two eqations and the ordered pair they both go through\

https://www.desmos.com/calculator/p02iiqdivv