Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
Answer:
3x + 9 + 4x + x = 8x + 9
Step-by-step explanation:
combine like terms
They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;

Subtracting Eqn 3 from Eqn 2 to eliminate y;

Dividing both sides by 17

Putting x=8 in Eqn 1

They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
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3x+12=5x-21
-5x -5x
-2x + 12 = -21
-12 -12
-2x=-33
x = 16.5
Answer:
¾(y + 3) + 9w
Step-by-step explanation:
Let's write it step by step:
Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)
Step 2: plus the product of 9 and w is;
¾(y + 3) + 9w
Thus,the final algebraic expression of the statement given in the question is;
¾(y + 3) + 9w