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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