Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:
Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:
According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
Regal theater sold 321 adult tickets and 227 children tickets.
Step-by-step explanation:
Given,
Cost of each adult ticket = $6.50
Cost of each child's ticket = $3.50
Total tickets sold = 548
Total worth of sold tickets = $2881
Let,
x represent the number of adult tickets sold
y represent the number of child tickets sold
According to given statement;
x+y=548 Eqn 1
6.50x+3.50y=2881 Eqn 2
Multiplying Eqn 1 by 6.50
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 3
Putting y=227 in Eqn 1
Regal theater sold 321 adult tickets and 227 children tickets.
Keywords: linear equation, elimination method
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