When a family with two adults and three children bought tickets for an amusement park they paid total of 56.50. The next family
in line, with four children and one adult, paid 49.50. Find the adult and child ticket prices by writing and solving a system of equations.
1 answer:
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Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;
Note that the slope-intercept form of the equation of a line is given as;
where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.
