For this case, the first thing we must do is define variables:
x: students of group 1
y: students of group 2
We now write the system of equations that models the problem:
Solving the system by substitution we have:
Then, the value of y is given by:
Answer:
8 students of group 1
20 students of group 2
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer
Step-by-step explanation:
Let us revise the types of solutions of a system of linear equations
- One solution
- No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
- Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations
∵ y = -2x + 5
- Add 2x to both sides
∴ 2x + y = 5 ⇒ (1)
∵ -5y = 10x + 20
- Subtract 10x from both sides
∴ -10x - 5y = 20
- Divide both sides by -5
∴ 2x + y = -4 ⇒ (2)
∵ The coefficient of x in equation (1) is 2
∵ The coefficient of x in equation (2) is 2
∴ The coefficients of x in the two equations are equal
∵ The coefficient of y in equation (1) is 1
∵ The coefficient of y in equation (2) is 1
∴ The coefficients of y in the two equations are equal
∵ The numerical term in equation (1) is 5
∵ The numerical term in equation (2) is -4
∴ The numerical terms are different
From the 2nd rule above
∴ No solution of the system of equations
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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Answer:
12ft
Step-by-step explanation:
1/4 of 48
= 1/4 * 48
= 12ft
<em>Feel free to mark this as brainliest! :D</em>
Answer:
cos B
Step-by-step explanation:
Let us take a look at angle B
The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25
The relationship between the adjacent and the hypotenuse can be mapped our using the cosine
So, the cosine is the ratio between the adjacent and the hypotenuse
Hence, cos B = 24/25
A multiplication expression with a product of 5 to the 13th power is...
- 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 = 1,220,703, 125 (answer)
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I am 99.9% sure that this is the correct answer, but if it happens not to be, I am truly sorry, and I hope you can forgive me. Thank You!
