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Andrei [34K]
3 years ago
9

Help with this system of equations !! y = 3x + 21; y = -7x + 2

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
C) x = -19/10 because when solving it with substitution u get x=-19/10 & y=153/10
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Answer: n = 75; p = 30

Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.

(b) 10p + 3n = 525

We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

2(5p + 4n = 450)

- 10p + 3p = 525

10p + 8n = 900

- 10 p + 3n = 525

5n = 375

2. Divide by 5 to get n alone: n = 75

3. Plug 75 into the first equation: 5p + 4(75) = 450

5p + 300 = 450

4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

10(30) + 3(75) = 525

300 + 225 = 525

525 = 525

This is a true statement, which means that our answers are correct.

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Find the greatest common factor of the following monomial.<br> 37x^3y^6 x^6y^2
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