Question

7. Plot the equations Y1.2X and X 30 -Y, together in a new graph, letting X range between 0 and 30. Based on that diagram, what are the values of X and Y where the functions cross? 8. Solve for those values algebraically

Answer 1

I have shown graphically the point of intersection of the two functions

now, algebrically I will show that the point of intersections.

given equations are   $y=1.2*x , and , x=30-y$

put value of y in equation 1 into 2nd equation

$x=30-1.2*x$ this gives $x=13.6$

since  $y=1.2*x$ it gives $y=1.2*13.6=16.3$