Year 9

# Solving word problems

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## Lesson details

### Key learning points

- In this lesson, we will use the techniques learned in this unit using simultaneous equations to investigate and model solutions to word problems.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

x+y=6. Multiply this equation by 3.

3x+3y=6

3x+y=6

x+y=18

Q2.

x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

2x+2y=6 AND 2x+y=5

6x+y=9 AND 10x-5y=25

x+y=7 AND 2x-y=9

Q3.

x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

Option 1

Option 3

Option 4

Q4.

2x+5y=9 AND 5x+4y=14. Solve the simultaneous equations.

x=2

y=3 and x=-2

Q5.

10x+5y=5 AND 3x-5y=34. Solve the simultaneous equations.

x=1 and y = -1

x=3