Simultaneous Equations

Question 1

Solve the simultaneous equation:

5x + 3y = 41
2x + 3y = 20

Answer 1

Answer:

x = 7 y = 2

Question 2

Solve the simultaneous equation:

5x + y = 11
3x - y = 9

Answer 2

Answer:

x = 2.5 y = -1.5

Question 3

Solve the simultaneous equation:

4x - 4y = 34
x - 4y = 3

Answer 3

Answer:

x = 7 y = 1

Question 4

Solve the simultaneous equation:

2x + 4y = 26
3x - y = 4

Answer 4

Answer:

x = 3 y = 5

Question 5

Solve the simultaneous equation:

3x - 2y = 14
x + 2y = 10

Answer 5

Answer:

x = 6 y = 2

Question 6

Solve the simultaneous equation:

3x + 5y = 1
2x - 3y = 7

Answer 6

Answer:

x = 2 y = -1

Question 7

Solve the simultaneous equations:

3x - y = 23
2x + 3y = 8

Answer 7

Answer:

x = 7 y = -2

Question 8

Find the coordinates where the straight lines cross:

y - 3x = 3
x - 2y = 4

Answer 8

Answer:

-2, -3

Question 9

Solve the simultaneous equations:

3a + c = 8
2a - c = 7

Answer 9

Answer:

a = 3 c = -1

Question 10

Three bananas and two pairs cost 95p.
Five bananas and three pairs cost £1.51.

Find the cost of ten bananas and ten pairs.

Answer 10

Answer:

£3.90