Quick questions on Simultaneous linear equations for HSC Maths Standard 2

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is read the intersection off a graph, stage by stage?

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The four panels below build a graphical solution one step at a time, using a real comparison: a Year 12 student weighing up two casual jobs. A Cafe job pays a

40 weekly retainer plus

20 an hour, so weekly pay is

P = 40 + 20h

. A Tutoring job pays a higher

80 base but only

10 an hour, so

P = 80 + 10h

. The question is how many hours make the two jobs pay the same.

What is modelling a worded problem?

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Most marks live in the worded version, which almost always compares two situations. The reliable recipe:

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