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Question Number 166321 by mathls last updated on 18/Feb/22

Answered by alephzero last updated on 19/Feb/22

x − table  y − cat  z − turte  ⇒  { ((y+x−z = 170)),((z+x−y = 130)) :}  y = 170−x+z  ⇒ z+x−170+x−z = 130  ⇒ x−170+x = 130  ⇒ 2x−170 = 130  ⇒ 2x = 300  ⇒ x = 150 cm

$${x}\:−\:{table} \\ $$$${y}\:−\:{cat} \\ $$$${z}\:−\:{turte} \\ $$$$\Rightarrow\:\begin{cases}{{y}+{x}−{z}\:=\:\mathrm{170}}\\{{z}+{x}−{y}\:=\:\mathrm{130}}\end{cases} \\ $$$${y}\:=\:\mathrm{170}−{x}+{z} \\ $$$$\Rightarrow\:{z}+{x}−\mathrm{170}+{x}−{z}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:{x}−\mathrm{170}+{x}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:\mathrm{2}{x}−\mathrm{170}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:\mathrm{2}{x}\:=\:\mathrm{300} \\ $$$$\Rightarrow\:{x}\:=\:\mathrm{150}\:\mathrm{cm} \\ $$

Commented by alephzero last updated on 18/Feb/22

Answer: table′s height is 150 cm

$${Answer}:\:\mathrm{table}'\mathrm{s}\:\mathrm{height}\:\mathrm{is}\:\mathrm{150}\:\mathrm{cm} \\ $$

Commented by mathls last updated on 18/Feb/22

thanks so much

$${thanks}\:{so}\:{much} \\ $$

Commented by peter frank last updated on 19/Feb/22

Good

$$\mathrm{Good} \\ $$

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