Question

Solve the equation $\frac{7 - x}{5 + 1}$ = 3 and verify your answer:-​

Answer 1

Hope it helps you!

Keep Smiling

Answer 2

Given :-  

$\sf \implies \dfrac{7-x}{5+1} = 3$

To Find :-  

• Value of x and then verify it  

Solution :-  

Step 1  

• Cross multiply  

$\sf \implies 7-x = 3(5+1)$  

Step 2  

• Simplify right side of the equation  

$\sf \implies 7 - x = ( 3 \times 5 ) + ( 3 \times 1 )$

$\sf \implies 7 - x = 15 + 3$

$\sf \implies 7 - x = 18$

Step 3  

• Transpose 7 to the right side of the equation

 

$\sf \implies - x = 18 - 7$  

$\sf \implies -x = 11$

$\sf \implies x = - 11$

$\boxed{\sf{ \bigstar \; x = - 11 }}$

Verification :-  

To verify whether the value of ‘ x ‘ is – 11 or not we’ll put it’s value in place of x in the equation  

$\sf \implies \dfrac{7-(-11)}{5+1} = 3$

$\sf \implies \dfrac{7+11}{5+1} = 3$

$\sf \implies \dfrac{18}{6} = 3$

$\sf \implies 3 = 3$

$\sf {\dag} \; Hence , Verified \; {\dag}$