Substitution
y = 3x + 1
y = 6x + 10
x = -3 , y = -8
4x + 9y = 29
6x - 9y = 21
x = 5, y = 1
- 14x - 6y = 14
7x + 5y = 7
x = -4, y= 7
1 ruler and 2 pens cost Rs 1.55
3 pens cost Rs 1.20
How much does a ruler cost?
75 paise
Factorise x2 - 36
(x+6)(x-6)
y = -2x + 13
y = 4x - 11
x = 4, y = 5
2x - 2y = -18
5x + 2y = -24
x = -6, y = 3
9x - 7y = 23
18x + 9y = 0
x = 1, y = -2
3 songs and 5 films cost a total of Rs 28
3 songs and 2 films cost a total of Rs 13
How much does each cost separately?
Songs = Rs 1
Films = Rs 5
Factorise x2 + 8x + 16
(x+4)2
4x + 2y = -20
y = x - 4
x = -2, y = -6
-8x - 5y = 18
8x + 7y = -22
x = -1, y = -2
x - 2y = -7
3x - 4y = -15
x = -1, y = 3
Two numbers have a sum of 20 and a difference of 8. What are the numbers?
14 and 6
Factorize: y²+4y−21
(y+7)(y-3)
5x - y = 21
y = -7x + 15
x = 3, y = -6
-8x + 2y = 28
-8x - 7y = 10
x = -3, y = 2
-x + 3y = -15
7x + 6y = -3
x = 3, y = -4
Paul collects baseball cards and football cards. The number of baseball cards is 10 more than twice the number of football cards. In total, Paul has 70 cards. How many of each type card does Paul have?
20 Football cards
50 Baseball Cards
Factorize: 4z²−12z+9
(2z-3)2
y = -8x - 3
8x + 4y = 12
x = -1, y = 5
-2x - 4y = 8
-5x - 4y = -10
x = 6, y = -5
-8x + 12y = 16
-6x - 6y = -18
x = 1, y = 2
Mayfield High School sold tickets for a school musical. Seats in the auditorium cost Rs 6 each and balcony seats cost Rs 4. A total of 200 tickets was sold and Rs 960 was collected. How many of each type of ticket was sold?
120 Balcony Seats
80 Auditorium Seats
The product of two consecutive positive integers is 19 more than their sum. Find the integers.
x * (x+1) = x + (x+1) + 19
=> x2 + x = 2x + 20
=> x2 - x - 20 = 0
x = 5
x+1 = 6