5. simon and his sister are playing a guessing game. simon tells his sister that he is thinking of two positive numbers. the first number minus the second number is 15. the square of the first number minus 20 times the second number is equal to 300.

a. write a system of one linear and one quadratic equation to represent the two numbers. be sure to define your variables.

b. solve the system of equations.

c. what are the two numbers that simon is thinking of? explain your reasoning.

linear equationis x – y = 15 andquadratic equationis x^2 – 20y = 300.numbersare x = 0, y = -15 and x = 20, y = 5numbersthat Simon is thinking of is x = 20, y = 5.numberbe x andnumberbe yPart a:numberminus the secondnumberis 15, then thelinear equationisnumberminus 20 times the secondnumberis equal to 300, then thequadratic equationisPart b:system of equationsPart c:numbersthat Simon is thinking of islinear equationis x – y = 15 andquadratic equationis x^2 – 20y = 300.numbersthat Simon is thinking of is x = 20, y = 5.system of equationshere