Mr Daniels Maths
Solving Simultaneous Equations1

Set 1

Set 2

Set 3

Q1)
8x + 7y = 74
8x + 3y = 50
[ x = 4, y = 6 ]

Q1)
2x + 5y = 57
10x -5y = 15
[ x = 6, y = 9 ]

Q1)
10x + 3y = 65
7x + 9y = 80
[ x = 5, y = 5 ]

Q2)
10x + 4y = 122
10x + 3y = 114
[ x = 9, y = 8 ]

Q2)
6x + 3y = 72
9x -3y = 48
[ x = 8, y = 8 ]

Q2)
2x + y = 16
8x + 9y = 104
[ x = 4, y = 8 ]

Q3)
3x + 4y = 48
2x + 4y = 44
[ x = 4, y = 9 ]

Q3)
5x + y = 35
7x -y = 25
[ x = 5, y = 10 ]

Q3)
6x + y = 22
7x + 5y = 64
[ x = 2, y = 10 ]

Q4)
4x + 8y = 40
4x + 3y = 20
[ x = 2, y = 4 ]

Q4)
9x + 2y = 96
6x -2y = 54
[ x = 10, y = 3 ]

Q4)
10x + 2y = 100
6x + 6y = 84
[ x = 9, y = 5 ]

Q5)
4x + 5y = 58
4x + 2y = 28
[ x = 2, y = 10 ]

Q5)
9x + 5y = 65
10x -5y = 30
[ x = 5, y = 4 ]

Q5)
4x + 7y = 78
6x -7y = 12
[ x = 9, y = 6 ]

Q6)
5x + 9y = 122
5x + 6y = 98
[ x = 10, y = 8 ]

Q6)
10x + y = 97
5x -y = 38
[ x = 9, y = 7 ]

Q6)
6x + y = 45
10x + 3y = 87
[ x = 6, y = 9 ]

Q7)
10x + 7y = 55
4x + 7y = 43
[ x = 2, y = 5 ]

Q7)
5x + 2y = 31
8x -2y = 8
[ x = 3, y = 8 ]

Q7)
9x + y = 48
8x + 2y = 46
[ x = 5, y = 3 ]

Q8)
7x + 9y = 102
7x + 4y = 57
[ x = 3, y = 9 ]

Q8)
8x + 7y = 101
5x -7y = 29
[ x = 10, y = 3 ]

Q8)
4x + 2y = 32
8x -10y = 36
[ x = 7, y = 2 ]

Q9)
10x + 9y = 57
10x + 3y = 39
[ x = 3, y = 3 ]

Q9)
9x + 4y = 66
8x -4y = 36
[ x = 6, y = 3 ]

Q9)
7x + 9y = 92
10x -9y = 44
[ x = 8, y = 4 ]

Q10)
6x + 6y = 60
6x + 4y = 56
[ x = 8, y = 2 ]

Q10)
5x + 7y = 66
7x -7y = 42
[ x = 9, y = 3 ]

Q10)
6x + 4y = 72
9x -8y = 66
[ x = 10, y = 3 ]