+0  
 
0
103
1
avatar

For what value of x will (3 + x)/(5 + x) and (1 + x)/(4 + x) be equal?

 Apr 6, 2022
 #1
avatar+124594 
+1

3 + x             1 + x

____  =       ______                cross-multiply

5 + x             4 + x

 

 

(3 + x) ( 4 + x)  = (5 + x) ( 1 + x)          simplify

 

x^2 + 7x  + 12   =  x^2 + 6x + 5          subtract x^2 from both sides

 

7x + 12  = 6x + 5   

 

7x - 6x  =  5 - 12

 

1x = -7

 

x = -7

 

 

cool cool cool

 Apr 6, 2022

10 Online Users