Hallie can use the equation [tex]$p=4 l+4 w+4 h$[/tex] to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:
1. [tex]$p=4 l+4 w+4 h$[/tex]
2. [tex]$\frac{p}{4}=\frac{4 I+4 w+4 h}{4}$[/tex]
3. [tex]$\frac{p}{4}=l+w+h$[/tex]
4. [tex]$h=\frac{p}{4}-$

Which expression should follow the subtraction in Hallie's equation?
A. [tex]$(l+w)$[/tex]
B. [tex]$(t-w)$[/tex]
C. [tex]$\left(\frac{l+w}{4}\right)$[/tex]
D. [tex]$\left(\frac{l-w}{4}\right)$[/tex]

2x + 5y =2 (+) 3x - 5y =53
5x + 0 = 55
Then finish it.
5x = 55 x = 11
Substitute x = 11,
2(11) + 5y = 2 22 - 2 + 5y = 0 20 + 5y = 0 5y = -20 y= -4

Answered by Anonymous | 2024-06-10

2x+5y=2 3x-5y=53

2x+3x=2+53 5x=55 / : 5 x=11

x=11 3x-5y=53
x=11 3*11-5y=53
x=11 33-5y=53
x=11 -5y=53-33
x=11 -5y=20 / : (-5)
x=11 y=-4

Answered by vivindalka | 2024-06-10

Using elimination, we solved the equations 2 x + 5 y = 2 and 3 x − 5 y = 53 to find x = 11 and y = − 4 . We added the two equations to eliminate y , which allowed us to solve for x , and then substituted back to find y . The solution to the system is ( 11 , − 4 ) .
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Answered by vivindalka | 2024-10-01