Question

4x+5/9x+5=6/2+5/7???​

Answer 1

Answer:

9x+5

4x+5

​  

=  

2

6

​  

+  

7

5

​  

 

Variable x cannot be equal to −  9 /5 since division by zero is not defined. Multiply both sides of the equation by 14(9x+5), the least common multiple of 9x+5,2,7.

14(4x+5)=(63x+35)×6+14(9x+5)×( 7 /5 )

Use the distributive property to multiply 14 by 4x+5.

56x+70=(63x+35)×6+14(9x+5)×(7 /5 )

Use the distributive property to multiply 63x+35 by 6.

56x+70=378x+210+14(9x+5)×(7 /5 )

Multiply 14 and   7 /5  to get 10.

56x+70=378x+210+10(9x+5)

Use the distributive property to multiply 10 by 9x+5.

56x+70=378x+210+90x+50

Combine 378x and 90x to get 468x.

56x+70=468x+210+50

Add 210 and 50 to get 260.

56x+70=468x+260

Subtract 468x from both sides.

56x+70−468x=260

Combine 56x and −468x to get −412x.

−412x+70=260

Subtract 70 from both sides.

−412x=260−70

Subtract 70 from 260 to get 190.

−412x=190

Divide both sides by −412.

x=  −412 /190

​    

Reduce the fraction  

−412 /190

​  

 to lowest terms by extracting and canceling out 2.

x=−  206/95

​  

hope it helps

Step-by-step explanation:

Answer 2

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