Question

5x+5y=40,x+y=8. What is the solution?

Answer 1

$\textbf{\underline{\underline{Answer :-}}} Answer :- ​ ​ The Length of the Rectangle is 24 cm. \textbf{\underline{\underline{Explanation :-}}} Explanation :- ​ ​ \textsf{\underline{\underline{Given :}}} Given : ​ ​ The Diagonal measures = 25 cm The Width = 7 cm \textsf{\underline{\underline{To Find :}}} To Find : ​ ​ The Length of the Rectangle \textsf{\underline{\underline{Solution :}}} Solution : ​ ​ ❖ \textsf{\underline{By Pythagoras theorum :}} By Pythagoras theorum : ​ Refer The Attachment. ⟹ Hypotenuse : 25 cm = AD ⟹ Base : x = CD ⟹ Height : 7 cm = AC ★ (Hypotenuse)² = (Base)² + (Height)² \sf{\implies} \: {25}^{2} = {x}^{2} + {7}^{2}⟹25 2 =x 2 +7 2 \sf{\implies} \: 625 = {x}^{2} + 49⟹625=x 2 +49 \sf{\implies} \: {x}^{2} = 625 - 49⟹x 2 =625−49 \sf{\implies} \: {x}^{2} = 576⟹x 2 =576 \sf{\implies} \: x = \sqrt{576}⟹x= 576 ​ ⟹ 576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 ⟹ 2 × 2 × 2 × 3 ⟹ 24 \sf{\implies} \: x = 24⟹x=24 {\boxed{\boxed{\sf{x = 24}}}} x=24 ​ ​ ⛬ The Length of the Rectangle is 24 cm.$

Answer 2

if x and y are equal to 8 then
X may be 4 and y also 4.
now
5x+5y=40
5×4+5×4 = 40
20+20= 40
satisfied