+0  
 
0
1088
2
avatar

y=9.65x+43 y=8.40x+58 what is their solution

 Jun 5, 2016
 #1
avatar+129840 
0

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}

 

 

cool cool cool

 Jun 5, 2016
 #2
avatar+1904 
+5

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

 Jun 5, 2016

2 Online Users

avatar
avatar