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PtichkaEL [24]
3 years ago
15

Use emilimination to solve 2t 3n=9 and 5t-3n=5

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0
2t+3n=9                                                   2(2)+3n=9
+5t-3n=5 (the 3n cancel out)                   4+3n=9
7t=14                                                       3n=5
t=2                                                           n=5/3 or 1.67
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Step-by-step explanation: Let the cost chair rental be called h, while the cost of table rental shall be called t. To rent two chairs and five tables cost $35, so we can express this as

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Also to rent eight chairs and three tables cost $38, and this too can be expressed as

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We now have a pair of simultaneous equations as follows

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We shall use the elimination method since all the unknown variables have coefficients greater than 1.

Multiply equation (1) by 8 and multiply equation (2) by 2. We now have

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Subtract equation (4) from (3)

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Having calculated that, substitute for the value of t into equation (1)

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Divide both sides of the equation by 2

h = 5/2 or (2.5)

Therefore the cost of rental for each chair (h) is $2.5 and the cost of rental for each table (t) is $6

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