Substitution
Elimination
Application
100
y = 3x -1 2x + y = 9
What is (2,5)?
100
x + 3y = -9 -x + y = -7
What is (3, -4)
100

The sum of two numbers is 12. Their difference is 6. Find the numbers

What is (3,9)?

200
3x - 2y = 4 x = 3 - y
What is (1,2)?
200
2x + 6y = -12 3x - 2y = 4
What is (0, -2)?
200
Twice a boys age is 9 more than his brothers. The average of their ages is 12. How old are they?
What is 11 and 13?
300
2x - y = -8 3x + 2y = - 5
What is (-3, 2)?
300
2x + y = 2 3y = -6x + 6
What is infinitely many solutions?
300

If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Find the ages of father and son.

10 and 36

400
3x - 6y = 30 2y = x +6
What is no solution?
400
5x + 2y = 2 3x + 5y = 24
What is (-2, 6)?
400

Two pens and one eraser cost Rs. 35 and 3 pencil and four erasers cost Rs. 65. Find the cost of pencil and eraser separately.

cost of 1 pen is Rs. 15 and the cost of 1 eraser is Rs. 5.

500
2a + 4b = -5 3a - 5b = 9
What is (0.5, -1.5)?
500
0.7x + 2y = 1.61 2x - 0.3y = 0.39
What is (0.3, 0.7)?
500

The sum of two numbers is 43. If the larger is doubled and the smaller is tripled, the difference is 36. Find the two numbers.

10 and 33

M
e
n
u