Answer:
[tex] x = 45 \ \& \ y = 5 [/tex]
Step-by-step explanation:
The system of linear equations in two variables is ,
[tex]\begin{cases} x = 9y \cdots (i)\\ x - 5y = 20\cdots (ii) \end{cases}[/tex]
We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,
[tex]\implies x - 5y = 20 \\\\\implies 9y - 5y = 20 \\\\\implies 4y = 20 \\\\\implies y =\dfrac{20}{4}\\\\\implies\boxed{\boxed{ y = 5 }}[/tex]
Substituting this value in (i) ,
[tex]\implies x = 9y \\\\\implies x = 9\times 5 \\\\\implies \boxed{\boxed{ x = 45 }}[/tex]
