Question

Determine the break even point of these two functions C(x)=12.50x+85.00 and S(x)=37.00x
I know what the break even point i just do not know how to calculate it algebraically

Answer 1

there i fixed it

Answer 2

You're looking for the intersection point of the graphs of two linear equations:
C(x)= y = 12.50x + 85.00
S(x) = y = 37.00x
Substituting the 2nd expression for y in the 1st:
37.00x = 12.50x + 85.00
Subtract 12.5 from both sides:
24.5x = 85
x = 850/245 = 3.47
y = 37*850/245 = 128.37