MPM2D (Grade 10 Math) - Solving Linear Systems by Substitution Practice Sheet
1) Solve each linear system using the method of substitution
a) y1= 2x1 + 1
x2 + y2 = 10
b) y1 = -3x1 + 7
2x2 + y2 = 1
c) x1 = y1 + 4
2x2 - y2 = 11
d) x1= 3y1 - 2
x2 + y2 = 10
e) y1 = 5 - x1
3x2 + y2 = 11
Word Problems
1) Otis works twice as many hours per week as Lawrence. Together, they work a total of 72
hours in one week.
a) Write an equation to represent the information in the first sentence.
b) Write an equation to represent the information in the second sentence.
c) Use the method of substitution to find the number of hours worked by each person.
2) Gene plays floor-hockey and is awarded 2 points for each goal and 1 point for each assist.
Last season, he earned a total of 86 points. He scored 17 fewer goals than assists.
a) Write a linear system to represent the information.
b) Solve the system.
c) What does the solution represent in the context of the problem?
1) Solve each linear system using the method of substitution
a) y1= 2x1 + 1
x2 + y2 = 10
b) y1 = -3x1 + 7
2x2 + y2 = 1
c) x1 = y1 + 4
2x2 - y2 = 11
d) x1= 3y1 - 2
x2 + y2 = 10
e) y1 = 5 - x1
3x2 + y2 = 11
Word Problems
1) Otis works twice as many hours per week as Lawrence. Together, they work a total of 72
hours in one week.
a) Write an equation to represent the information in the first sentence.
b) Write an equation to represent the information in the second sentence.
c) Use the method of substitution to find the number of hours worked by each person.
2) Gene plays floor-hockey and is awarded 2 points for each goal and 1 point for each assist.
Last season, he earned a total of 86 points. He scored 17 fewer goals than assists.
a) Write a linear system to represent the information.
b) Solve the system.
c) What does the solution represent in the context of the problem?
