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GCSE Maths | Simultaneous Equations

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Question 1

Solve the simultaneous equations using the graph y = -x + 4 and y = x - 2

Question 2

Solve the simultaneous equations using the graph y = -x - 4 and y = 2x + 2

Question 3

Question 4

Question 5

Question 6

Question 7

a) Two numbers have a sum of 15 and a difference of 3. Find the numbers.

b) Three chocolate bars and two packets of sweets cost £5.10. One chocolate bar and one packet of sweets cost £1.90. Find the cost of one chocolate bar.

c) A theatre has 500 seats. At a sold-out show, they took £3150. An adult ticket costs £8 and a child ticket costs £5. How many of each type of ticket were sold?

d) The perimeter of a rectangle is 34 cm. Its length is 3 cm more than twice its width. Find the dimensions of the rectangle.

e) I am thinking of two numbers. If I double the first and add the second, I get 17. If I add the first and triple the second, I get 21. What are the two numbers?