The value of x is -8
Step-by-step explanation:
The steps of solving an equation of one variable
- Simplify the two sides of the equation
- Separate the variable in one side and the numerical term in the other side
- Divide the both sides by the coefficient of the variable
∵ 372 = -3x - 6(8x + 6)
- Simplify the R.H.S. of the equation by multiplying the bracket by 6
∵ 372 = -3x - [6(8x) + 6(6)]
- You must put the square bracket because the sign in-front of 6
is (-) and the (-) changes the signs after it
∴ 372 = -3x - [48x + 36]
- Remember (-)(+) = (-), multiply the square bracket by (-)
∴ 372 = -3x - 48x - 36
- Add the like terms in the R.H.S.
∴ 372 = -51x - 36
- Add 36 to both sides to separate x in the R.H.S.
∴ 408 = -51x
- Divide both sides by -51 (coefficient of x)
∴ -8 = x
I hope these steps help you
The value of x is -8
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Answer:
rotation
Step-by-step explanation:
The correct answer is c. :)
Answer:
Ground seats = 450 people
Balcony seats= 132 people
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)
15 b +10 g =6480
The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).
b+g = 582
Multiplying the second equation by 10, and subtracting it to the first equation:
15 b +10 g =6480
-
10b+10g = 5820
__________
5b =660
Solving for b
b = 660/5 = 132
Substituting b=132 in the second equation:
132+g = 582
g= 582-132
g= 450
