Solving simultaneous equations worksheets with answers

Cambridge IGCSE 0580

Two equations, two unknowns: find the one pair of values that fits both.

Sample sheet

Solving simultaneous equations, Standard

Name Date

1
Solve the simultaneous equations. $-x - 4y = 27$ $x + 5y = -34$
[4]
Scan for help
2
Solve the simultaneous equations. $2x + y = -11$ $2x - 2y = -8$
[4]
Scan for help
3
Solve the simultaneous equations. $2x + 6y = -32$ $2x + y = 3$
[4]
Scan for help
4
Solve the simultaneous equations. $-3x + 2y = -9$ $2x + 2y = 26$
[4]
Scan for help
5
Solve the simultaneous equations. $2x + y = -12$ $6x + y = -24$
[4]
Scan for help
6
Solve the simultaneous equations. $2x + 4y = 6$ $3x - 4y = 29$
[4]
Scan for help

Answers

Solving simultaneous equations, Standard

1 $x = 1,\ y = -7$
2 $x = -5,\ y = -1$
3 $x = 5,\ y = -7$
4 $x = 7,\ y = 6$
5 $x = -3,\ y = -6$
6 $x = 7,\ y = -2$

Method in brief

Make the x terms or the y terms match, then add or subtract the equations to remove one letter. Solve for the other letter and substitute back to find the first.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

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More worksheets

Solving simultaneous equations worksheets with answers

Cambridge IGCSE 0580

Two equations, two unknowns: find the one pair of values that fits both.

Sample sheet

Solving simultaneous equations, Standard

Name Date

1
Solve the simultaneous equations. $-x - 4y = 27$ $x + 5y = -34$
[4]
Scan for help
2
Solve the simultaneous equations. $2x + y = -11$ $2x - 2y = -8$
[4]
Scan for help
3
Solve the simultaneous equations. $2x + 6y = -32$ $2x + y = 3$
[4]
Scan for help
4
Solve the simultaneous equations. $-3x + 2y = -9$ $2x + 2y = 26$
[4]
Scan for help
5
Solve the simultaneous equations. $2x + y = -12$ $6x + y = -24$
[4]
Scan for help
6
Solve the simultaneous equations. $2x + 4y = 6$ $3x - 4y = 29$
[4]
Scan for help

Answers

Solving simultaneous equations, Standard

1 $x = 1,\ y = -7$
2 $x = -5,\ y = -1$
3 $x = 5,\ y = -7$
4 $x = 7,\ y = 6$
5 $x = -3,\ y = -6$
6 $x = 7,\ y = -2$

Method in brief

Make the x terms or the y terms match, then add or subtract the equations to remove one letter. Solve for the other letter and substitute back to find the first.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor