Solve the system of equations.

Question

y=-0.05x^2+3.7x

 

y=1.23x-5

Answer 1

The system of equations are

and

Equating the two equations

Compare it to quadratic form

Roots are

Substitute x  = 51.3 in y  = 1.23x - 5

Substitute x  = -1.9 in y  = 1.23x  - 5

Solution (x ,y ) = (-1.9, -7.3) and (x ,y ) = (51.3, 58.1).