Comparing

Algebra Level 2

True or False?

If real numbers \({\color{red}a},\ {\color{blue}b},\ x,\) and \(y\) satisfy \[{\color{red}a}x + {\color{blue}5}y = {\color{red}2}x + {\color{blue}b}y,\] then it must be the case that \[{\color{red}a=2} \text{ and } {\color{blue}b=5}.\]