Question

# What is a first step to solving for X in the equation 9X-7 = 10 ? How would you check your solution ?

Hint:

### An equation in which highest power of any variable is always 1 is known as a Linear equation.

We will simplify the given equation and find the value of x.

## The correct answer is: We can check the solution by substituting the value of x on LHS of the given equation and check whether it matches with the RHS or not

Step-by-step solution:-

9X - 7 = 10 …...................................... (Given)

∴ 9x = 10 + 7 …................................ (Taking all the constants on 1 side of the equation)

∴ 9x = 17

∴ x = 17/9 ….................................. (Dividing both sides by 9)

∴ x = 1.89

∴ The first step in solving the given equation will be to take all the constants i.e. numbers on 1 side of the equation and variables on the other and then simplifying further, we get the solution as x = 17/9 or 1.89

We can check the solution by substituting the value of x on LHS of the given equation and check whether it matches with the RHS or not.

∴ LHS = 9x - 7

∴ LHS = 9 ×17/9 - 7

∴ LHS = 17 - 7

∴ LHS = 10

∴ LHS = RHS

Final Answer:-

∴ The first step in solving the given equation will be to take all the constants i.e. numbers on 1 side of the equation and variables on the other and then simplifying further, we get the solution as x = 17/9 or 1.89. We can check the solution by substituting the value of x on LHS of the given equation and check whether it matches with the RHS or not.

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