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kodGreya [7K]
3 years ago
5

Solve the simultaneous equations 3x + 2y = 30 3x - y = 21

Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer:

x = 8 , y = 3

Step-by-step explanation:

3x + 2y = 30

3x - y = 21      -> y = 3x - 21

3x + 2 (3x - 21) = 30

3x + 6x - 42 = 30

3x + 6x = 30 + 42

9x = 72

x = 72/9 = 8

y = 3*8 - 21 = 24 - 21 = 3

∴ x = 8 & y = 3

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Rhianna says she can draw different functions that have the same x‑intercepts and the same domain and range. Her teammates say,
qwelly [4]

In both cases there are more than one possible function sutisfying given data.

1. If

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  • the range is –4 ≤ y ≤ 10,

then (see attached diagram for details) you can build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their maximum and minimum left and right you can obtain another function that satisfies the conditions above.

2. If

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3 years ago
write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4
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Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

This gives us:

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So therefore the final answer is y = (-1/4)x - 1

I hope this helps!

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