Question

5x+3y=11 ----- 1
4x-y=2 ------ 2

Answer 1

Answer:

step by step explanation:

$\Large{\mathsf{ \Rightarrow 5x+3y=11 }}$

$\Large{\mathsf{ \Rightarrow 5x=11-3y }}$

$\huge{\mathsf{ \Rightarrow x=\frac{11-3y}{5} }}$

put the value of x in equation ( 2 ),

$\Large{\mathsf{ \Rightarrow 4x-y=2}}$

$\huge{\mathsf{ \Rightarrow 4(\frac{11-3y}{5})-y=2}}$

$\huge{\mathsf{ \Rightarrow \frac{44-12y}{5}-y=2}}$

$\huge{\mathsf{ \Rightarrow \frac{44-12y-5y}{5}=2}}$

$\huge{\mathsf{ \Rightarrow \frac{44-17y}{5}=2}}$

$\Large{\mathsf{ \Rightarrow 44-17y=2×5}}$

$\Large{\mathsf{ \Rightarrow 44-17y=10}}$

$\Large{\mathsf{ \Rightarrow 44-10=17y}}$

$\Large{\mathsf{ \Rightarrow 17y=34}}$

$\Large{\mathsf{ \Rightarrow y=2}}$

put the value of y in equation ( 2 ),

$\Large{\mathsf{ \Rightarrow 4x -y =2}}$

$\Large{\mathsf{ \Rightarrow 4x -2 =2}}$

$\Large{\mathsf{ \Rightarrow 4x =2+2}}$

$\Large{\mathsf{ \Rightarrow 4x =4}}$

$\Large{\mathsf{ \Rightarrow x =1}}$