Simultaneous linear equations

Question 1 of 10

Solve 2x + y = 7 and x = 2.

Question 2 of 10

Solve x + y = 10 and x − y = 2.

Question 3 of 10

x = 3, y = 1 satisfies both x + y = 4 and x − y = 2.

Question 4 of 10

Solve the simultaneous equations 5x + 5y = 10 and x + 4y = −4.

Question 5 of 10

Solve the simultaneous equations 3x − y = −8 and 2x − 3y = −17.

Question 6 of 10

Solve the simultaneous equations 2x − 4y = −26 and 2x + 5y = 46.

Question 7 of 10

Solving 3x + y = 9 and y = 3 gives x = 3.

Question 8 of 10

Two simultaneous linear equations always have exactly one solution.

Question 9 of 10

Tickets for a school show cost GH₵ 15 for adults and GH₵ 5 for children. 112 tickets were sold and GH₵ 1,200 was collected. (a) Form two equations using a for adults and c for children. (b) Solve them to find how many of each ticket were sold. (c) Check your answer.

Question 10 of 10

Tickets for a school show cost GH₵ 25 for adults and GH₵ 6 for children. 70 tickets were sold and GH₵ 1,180 was collected. (a) Form two equations using a for adults and c for children. (b) Solve them to find how many of each ticket were sold. (c) Check your answer.