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Flura [38]
3 years ago
13

Use the substitution method to solve the following pairs of simultaneous

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1

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Write the ratio 2/3/5 in simplest form​
Natasha_Volkova [10]

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The local pre-school ordered all new bicycles and tricycles for the new school year. Each bicycle and tricycle is shipped in its
mrs_skeptik [129]
There are 16 boxes total, and 45 wheels total. 

we know that each bicycle/tricycle is in it's own box. 
i'm going to use the variable "b" for bicycle and "t" for tricycle

b + t = 16 
(because b is the amount of bicycles and t is the amount of tricycles) 

now we know that there are 45 wheels total. 
there are 2 wheels for a bicycle and 3 wheels for a tricycle

2b + 3t = 45 

now we have a system of equations
b + t = 16
2b + 3t = 45 

You can solve this multiple ways, but I'm going to use substitution. 
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t) 
then we can substitute this b = 16 - t into the other equations

2(16 - t) + 3t = 45

32 - 2t + 3t = 45
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now you can plug that back into the original equations

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If you have any more questions, feel free to ask!

5 0
4 years ago
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