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Simultaneous equations and parameter constraints
Free examples and worked answers. No account needed.
Practise the method.
Simultaneous equations and parameter constraints
Simultaneous equations and parameter constraints
Example 1
Solve 2x+y=14 and x−y=4. Find x.
Show worked answer
Answer: 6
- Add the equations to eliminate y:3x=18
- x=6.
Example 2
Adult tickets cost $9 and child tickets cost $4. A group buys 7 tickets for $53. How many adult tickets were bought?
Show worked answer
Answer: 5
- Let adults be x.
- Children =7−x.
- Solve 9x+4(7−x)=53;
- x=5.
Example 3
Solve 2x+y=10 and x−y=−1. Find x.
Show worked answer
Answer: 3
- Add the equations to eliminate y:3x=9
- x=3.
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