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\