Just a random problem.

Level 1

If x=12, and x+y=15-y, what is y squared?

1.5 225 2.25 22.5 15

Z G by Z G , 17, USA

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2 solutions

Blan Morrison
May 2, 2018

x + y = 15 − y x+y=15-y ⟹ 12 + 2 y = 15 \implies 12+2y=15 ⟹ 2 y = 3 \implies 2y=3 ⟹ y = 1.5 \implies y=1.5 y 2 = 1. 5 2 = 2.25 y^2=1.5^2=\boxed{2.25}

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. .
Apr 30, 2021

12 + y = 15 − y ↔ 2 y = 3 ↔ y = 3 2 ⇒ ( 3 2 ) 2 = 9 4 = 2.25 \displaystyle 12 + y = 15 - y \leftrightarrow 2y = 3 \leftrightarrow y = \frac { 3 } { 2 } \Rightarrow \left ( \frac { 3 } { 2 } \right ) ^ { 2 } = \frac { 9 } { 4 } = 2.25 .

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