2x+4=24
-4 -4
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2x=20
÷2 ÷2
----------
X=10
So 10 stickers in each pack
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:
It lies between the numbers 4 and 5
Step-by-step explanation:
If John has 17 leaves and 4 cages then he should put 17/4, or 16/4+1/4 which is 4+0.25, or 4.25 in each cage.
Answer:
$79.20
Step-by-step explanation:
fixed charged of $19 x 4 months = $76.00
additional charged of $0.04 x 20 = $0.80 x 4 months = $3.20
Therefore, $76.00 + $3.20 = $79.20
Answer:
B. (-7 +/-√33) / 4
Step-by-step explanation:
2x2 + 7x + 2 = 0
x = [-7 +/- √(7^2 - 4*2*2)] / 2*2
x = -7/4 +/- √(33) / 4
= (-7 +/-√33) / 4
