Question

solve the equation and check your solution by substituting in the equation 6x-9-2(1-x)=x+9

Answer 1

Step 1

Multiply : 6x-9-2(1-x)=x+9

             =6x-9-2+2x=x+9

             =6x-11+2x=x+9

             =8x-11=x+9

Bring all like terms to one side:

             =8x-x=9+11

             =7x=20

              x=20/7

Hope it is Helpful !

Answer 2

$\boxed{\boxed{\boxed{\bold{\red{Solution :\longrightarrow}}}}}$

$\bold{= > 6x - 9 - 2 + 2 x = x + 9}$

$\bold{= > 8x - 11 = x + 9}$

$\bold{ = > 8x - x = 9 + 11}$

$\bold{= > 7x = 20}$

$\bold{ = > x = \frac{20}{7}}$

$\bold\green{\boxed{Checking : }}$

$\bold{\underline{LHS}}$

$\bold{= 6x - 9 - 2(1 - x) }\\ \\ \bold{= 6 \times \frac{20}{7} - 9 - 2(1 - \frac{20}{7} )}$

$\bold{= \frac{120}{7} - 9 - 2 + \frac{40}{7}} \\ \\ \bold{= \frac{120 - 63 - 14 + 40}{7}} \\ \\ \bold{= \frac{160 - 77}{7} }\\ \\ \bold{= \frac{83}{7} }$

$\bold{\underline{RHS}}$

$\bold{ = x + 9} \\ \\ \bold{= \frac{20}{7} + 9}$

$\bold{ = \frac{20 + 63}{7}} \\ \\ \bold{= \frac{83}{7} }$

•°• LHS = RHS

Checked