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2 answers:
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Answer:
, or in this case,
Step-by-step explanation:
Assuming that Justine's score is represented by and Meagan's score is represented by
, we know that
will always be the opposite of
.
To represent opposite, we put a negative sign before the variable.
This makes the current number, even if it's negative, the opposite value.
Let's test it out.
Since Justine's score is -7, substituting it into the equation makes it . We know that two negatives make a positive, so
.
Now let's assume Justine's score is 7. Plugging it into the equation, we get . That's the same thing as
, and -1 times 7 is -7.
Hope this helped!
Answer:
<u>Answer (a):</u>
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
<u>Answer (b)</u>
9 large dogs.
Step-by-step explanation:
Paws at Play made a total of $1234 grooming 22 dogs.
Paws at Play charges $43 to groom each small dog and;
$75 for each large dog.
Let the number of small dogs be 's'
And the number of large dogs be 'l'
<u>A system of equations will be:</u>
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;
43s + 43l = 946 ... (i)
43s + 75l = 1234 ... (ii)
Subtracting (i) from (ii) we get;
32l = 288 , l = = 9
So there are 9 large dogs.
