Page 58 - Math 9-10 (2009)

FOUNDATIONS OF MATHEMATICS, GRADE 10, APPLIED (MFM2P) 57
– solve systems of two linear equations involving two variables with integral coefficients, using the algebraic method of substitution or elimination (Sample problem: Solve y = 2x + 1, 3x + 2y = 16 for x and y algebraically, and verify alge- braically and graphically.);
– solve problems that arise from realistic sit- uations described in words or represented by given linear systems of two equations involving two variables, by choosing an appropriate algebraic or graphical method (Sample problem: Maria has been hired by Company A with an annual salary,
S dollars, given by S = 32 500 + 500a, where a represents the number of years she has been employed by this company. Ruth has been hired by Company B with an annual salary, S dollars, given by
S = 28 000 + 1000a, where a represents the number of years she has been employed by that company. Describe what the solution of this system would repre- sent in terms of Maria’s salary and Ruth’s salary. After how many years will their salaries be the same? What will their salaries be at that time?).