Solving word problems
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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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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