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BigorU [14]
3 years ago
11

2) -7x + 5y=10 4x - 5y=-10

Mathematics
2 answers:
lianna [129]3 years ago
8 0

-7x+5y=10

4x-5y=-10

Find x first by eliminating the y.

Add the two equations together.

-7x+4y=-3y

+5y-+5y= 5y-5y=0

10-+10=0

-3x=0

divide both sides by -3

-3x/-3=0/-3

x=0

Find y by using x=0 into -7x+5y=10 ( using substitution  method)

-7(0)+5y=10

0+5y=10

5y=10

divide both sides by 5

5y/5=10/5

y=2

Answer:

(0,2)

bezimeni [28]3 years ago
5 0
To solve this, the problem is solvable by elimination. So you see how the 5y and -5y cancel out? You basically add those two and you add the -7x and 4x and 10 and -10 leaving you with -3x=0. Dividing by each side gives you x=0. Then, plug 0 in for x in -7x+5y=10. Giving you

-7(0)+5y=10.

0+5y=10

5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).

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Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

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Therefore, there are 24 adults

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