Simultaneous Equations (demo)

Question 1

Solve these simultaneous equations

4x + y = 17

2x + y = 9

Answer 1

x = 4

y = 1

Question 2

Solve these simultaneous equations

5x + 2y = 4

4x - y = 11

Answer 2

x = 2

y = -3

Question 3

Solve these simultaneous equations

6x + 2y = 14

3x - 5y = 10

Answer 3

x = 2.5

y = -0.5

Question 4

Three chews and four bubblies cost 72p. Five chews and two bubblies cost 64p. What would three chews and five bubblies cost?

Answer 4

3c + 4b = 72

5c + 2b = 64

So chews cost 8p, bubblies cost 12p

3c + 5b = 84

So the answer is 84p

Question 5

Solve these simultaneous equations

xy = 2

y = x + 1

Answer 5

x = 1 and -2

y = 2 and -1

Question 6

Solve these simultaneous equations

x² + y² = 25

x + y = 7

Answer 6

x = 3 and 4

y = 4 and 3