CAMBRIDGE IGCSE MATHS (0580)

Question 1:
Solve the simultaneous equations.
\( 3x + 5y = 24 \)
\( x + 7y = 56 \)

Question 2:
Find the value of \( 2x + y \) for the simultaneous equations.
\( 3x + 5y = 48 \)
\( 2x - y = 19 \)

Question 3:
Solve the simultaneous equations.
\( 2x - y = 7 \)
\( 3x + y = 3 \)

Question 4:
Solve the simultaneous equations.
\( 0.4x - 5y = 27 \)
\( 2x + 0.2y = 9 \)

Question 5:
Solve the simultaneous equations. You must show all your working.
\( 5x + 2y = -2 \)
\( 3x - 5y = 17.4 \)

Question 6:
Solve the simultaneous equations. Show all your working.
\( 3x + 4y = 14 \)
\( 5x + 2y = 21 \)

Question 7:
Solve the simultaneous equations. You must show all your working.
\( 2x + 3y = 13 \)
\( x + 2y = 9 \)

Question 8:
Solve the simultaneous equations. You must show all your working.
\( x + y = 8 \)
\( x - 2y = 2 \)

Question 9:
Solve the simultaneous equations. You must show all your working.
\( y = \frac{x}{2} \)
\( 2x - y = 1 \)

Question 10:
Solve the simultaneous equations. You must show all your working.
\( 2x + 3y = -12 \)
\( 5x + 2y = 14 \)

Question 11:
Robbie pays $10.80 when he buys 3 notebooks and 4 pencils. Paniz pays $14.50 when she buys 5 notebooks and 2 pencils.
Write down simultaneous equations and use them to find the cost of a notebook and the cost of a pencil.

Question 12:
Solve the simultaneous equations.
\( 4x + 3y = 18 \)
\( 2x + 5y = 20 \)

Question 13:
Find the value of \( x \) and \( y \) for the following equations:
\( x - 3y = 2 \)
\( 4x + y = 17 \)

Question 14:
Solve the simultaneous equations.
\( 5x + 2y = 19 \)
\( 3x + 4y = 13 \)

Question 15:
Solve the simultaneous equations.
\( 6x - y = 18 \)
\( 4x + 2y = 16 \)

Question 16:
Solve the simultaneous equations.
\( 3x + 4y = 10 \)
\( x - 2y = 3 \)

Question 17:
Solve the simultaneous equations.
\( x + 2y = 7 \)
\( 3x - y = 8 \)

Question 18:
Solve the simultaneous equations.
\( 2x + 4y = 16 \)
\( 5x + y = 22 \)

Question 19:
Solve the simultaneous equations.
\( 4x - 2y = 10 \)
\( 3x + 5y = 20 \)

Question 20:
Solve the simultaneous equations.
\( 7x - 3y = 27 \)
\( 5x + 2y = 14 \)

Question 21:
Solve the simultaneous equations.
\( 2x + 3y = 9 \)
\( 3x + y = 7 \)

Question 22:
Solve the simultaneous equations.
\( 3x - y = 5 \)
\( 4x + 2y = 22 \)

Question 23:
Solve the simultaneous equations.
\( 2x + y = 13 \)
\( x + 2y = 14 \)

Question 24:
Solve the simultaneous equations.
\( 5x + 3y = 20 \)
\( 3x - y = 5 \)

Question 25:
Solve the simultaneous equations:
\( 4x - 3y = 10 \)
\( 2x + 5y = 22 \)