Question Number 166321 by mathls last updated on 18/Feb/22
Answered by alephzero last updated on 19/Feb/22
$${x}\:−\:{table} \\ $$$${y}\:−\:{cat} \\ $$$${z}\:−\:{turte} \\ $$$$\Rightarrow\:\begin{cases}{{y}+{x}−{z}\:=\:\mathrm{170}}\\{{z}+{x}−{y}\:=\:\mathrm{130}}\end{cases} \\ $$$${y}\:=\:\mathrm{170}−{x}+{z} \\ $$$$\Rightarrow\:{z}+{x}−\mathrm{170}+{x}−{z}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:{x}−\mathrm{170}+{x}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:\mathrm{2}{x}−\mathrm{170}\:=\:\mathrm{130} \\ $$$$\Rightarrow\:\mathrm{2}{x}\:=\:\mathrm{300} \\ $$$$\Rightarrow\:{x}\:=\:\mathrm{150}\:\mathrm{cm} \\ $$
Commented by alephzero last updated on 18/Feb/22
$${Answer}:\:\mathrm{table}'\mathrm{s}\:\mathrm{height}\:\mathrm{is}\:\mathrm{150}\:\mathrm{cm} \\ $$
Commented by mathls last updated on 18/Feb/22
$${thanks}\:{so}\:{much} \\ $$
Commented by peter frank last updated on 19/Feb/22
$$\mathrm{Good} \\ $$