Question

Reason What is a first step to solving for x

in the equation 9x - 7 = 10? How would you
check your solution? © MP.2

Answer 1

Answer: Do -7 + 7 and do the same to 10, (7 + 10). This is the first step in Isolating the variable.

Explanation:

hope it's right

Answer 2

`\large \mathfrak{Solution : }`

let's solve for x :

first step : adding 7 on both sides

• 
  `9x - 7 = 10`

• 
  `9x - 7 + 7 = 10 + 7`

• 
  `9x = 17`

next step : dividing by 9 on both sides :

• 
  `(9x)/(9) = (17)/(9)`

• 
  `x = (17)/(9)`

now, let's check for the solution by Plugging the value of x as 17 / 9 in the above equation.

• 
  `9x - 7 = 10`

• 
  `(9 * (17)/(9) ) - 7 = 10`

• 
  `17 - 7 = 10`

• 
  `10 = 10`

we can see that the LHS = RHS, therefore our value for x is correct. i.e 17 / 9