The image you've uploaded shows two parabolas on the coordinate plane. One is the graph of the equation $j(x) = 1.2x^2 + 2$, represented by the orange curve, and the other is $f(x) = 0.2x^2 + 1$, shown by the blue curve.

To determine how many real solutions this system has, we need to find the points where the two curves intersect. These intersection points correspond to the solutions of the system of equations.

Looking at the graph, you can see that the two curves intersect at two points. Therefore, the system has 2 real solutions.

Would you like further details on how to solve this algebraically, or do you have any other questions?

Here are some related questions that might help you explore this topic more:

1. How do you find the intersection points algebraically for two quadratic equations?
2. What does it mean for two graphs to intersect at multiple points?
3. How would the number of intersection points change if the coefficients in the equations were different?
4. Can two parabolas never intersect? Why or why not?
5. How do the shapes of these parabolas affect the number of solutions in a system?

Tip: When solving systems of quadratic equations, graphing is a helpful tool to visualize solutions, but algebraic methods such as substitution or elimination can also be used for exact results.