Mr Daniels Maths
Solving Simultaneous Equations1

Set 1

Set 2

Set 3

Q1)
7x + 10y = 130
7x + 4y = 94
[ x = 10, y = 6 ]

Q1)
9x + 2y = 104
5x -2y = 36
[ x = 10, y = 7 ]

Q1)
5x + y = 28
3x -4y = 3
[ x = 5, y = 3 ]

Q2)
7x + 3y = 23
7x + 2y = 20
[ x = 2, y = 3 ]

Q2)
6x + 5y = 110
7x -5y = 20
[ x = 10, y = 10 ]

Q2)
8x + y = 42
3x -4y = 7
[ x = 5, y = 2 ]

Q3)
9x + 7y = 95
6x + 7y = 68
[ x = 9, y = 2 ]

Q3)
2x + y = 16
5x -y = 12
[ x = 4, y = 8 ]

Q3)
4x + 3y = 55
3x + 9y = 102
[ x = 7, y = 9 ]

Q4)
10x + 3y = 32
9x + 3y = 30
[ x = 2, y = 4 ]

Q4)
9x + 4y = 94
10x -4y = 20
[ x = 6, y = 10 ]

Q4)
5x + 5y = 80
6x + 10y = 132
[ x = 7, y = 9 ]

Q5)
8x + 8y = 128
8x + 5y = 104
[ x = 8, y = 8 ]

Q5)
2x + 6y = 68
9x -6y = 42
[ x = 10, y = 8 ]

Q5)
10x + 5y = 60
3x + 10y = 35
[ x = 5, y = 2 ]

Q6)
10x + 5y = 60
8x + 5y = 50
[ x = 5, y = 2 ]

Q6)
10x + 3y = 36
9x -3y = 21
[ x = 3, y = 2 ]

Q6)
8x + y = 34
10x + 8y = 56
[ x = 4, y = 2 ]

Q7)
10x + 6y = 100
5x + 6y = 65
[ x = 7, y = 5 ]

Q7)
2x + 5y = 41
7x -5y = 31
[ x = 8, y = 5 ]

Q7)
2x + y = 26
9x + 6y = 129
[ x = 9, y = 8 ]

Q8)
9x + 4y = 54
6x + 4y = 48
[ x = 2, y = 9 ]

Q8)
8x + 5y = 94
7x -5y = 26
[ x = 8, y = 6 ]

Q8)
7x + 2y = 20
2x + 6y = 22
[ x = 2, y = 3 ]

Q9)
10x + 10y = 90
2x + 10y = 74
[ x = 2, y = 7 ]

Q9)
5x + 8y = 57
8x -8y = 8
[ x = 5, y = 4 ]

Q9)
7x + y = 75
4x + 6y = 70
[ x = 10, y = 5 ]

Q10)
6x + 4y = 70
3x + 4y = 49
[ x = 7, y = 7 ]

Q10)
5x + 3y = 80
7x -3y = 40
[ x = 10, y = 10 ]

Q10)
6x + 4y = 42
10x + 8y = 74
[ x = 5, y = 3 ]