What you've been given is a pair of simultaneous equations, often called a system. Simultaneous just means the equations are both true at the same time. They're linear equations which means they're the sort that would be plotted as straight lines on a graph. There are two variables, x and y (and it looks like the second equation has a missing x after 1.6), and you need two independent equations to find out a solution for both variables. If you did plot their straight line graphs, where the lines cross is the solution to the equations as a point of intersection with coordinates x and y. So, back to the question, the linear graphs intersect at the solution to the equations. If the lines don't intersect because they're parallel there's no solution. These graphs do intersect because their slopes are different, the slope being derived from the coefficients of the x and y terms in each equation (-1.5/0.2 and -1.6/0.3). The standard form for a linear equation or the equation of a line is y=ax+b, where a and b are numbers called the slope and intercept or y intercept (the point where the line cuts the y axis).
Although the question doesn't ask for it, the point where the lines cross or intercept is (1.6,1.4) so x=1.6 and y=1.4 is the solution to the system.