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[128-y] x 23 = 2346

 Dec 28, 2020
 #1
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Hi, 

there are two ways to solve this question

 

Strategy 1): Divide both sides of the equation by 23

 

{(128–y) x 23}/23 = 2346/23

Simplify: 128–y = 102

Therefore, y=26

 

Strategy 2): Expand the left side of the equation

(128–y) x 23 = 2944–23y = 2346

Simplify: –23y=2346–2944

Simplify: –23y=–598

Therefore, when both sides are divided by –23, 

y=26

 

I hope this helps you :)

 Dec 28, 2020
 #2
avatar+86 
+1

Answer: \(y=26\)

 

Steps:

 

\(\left(128-y\right)\cdot \:23=2346\)

 

Divide both sides by 23

 

\(\frac{\left(128-y\right)\cdot \:23}{23}=\frac{2346}{23}\)

 

Simplify

\(128-y=102\)

 

Subtract 128 from both sides

\(128-y-128=102-128\)

 

Simplify

\(-y=-26\)

 

Divide both sides by \(-1\)

\(\frac{-y}{-1}=\frac{-26}{-1}\)

 

Simplify

\(y=26\)

 

I hope you read the steps, and not just the solution!

 Dec 28, 2020
edited by cryptoaops  Dec 28, 2020

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