How do you solve $3x-2=8$ ?
Answer
625.8k+ views
Hint: The given equation is a linear equation in one variable, so one equation is required to solve for the unknown variable, we can bring the variable to one side and constant to another side. Then divide both LHS and RHS by the coefficient of x to find the unknown.
Complete step-by-step answer:
The equation given in the question is $3x-2=8$ which is a linear equation
Let bring the variable to LHS and constant to LHS we can see – 2 is there in LHS
We can add 2 to both LHS and RHS , so adding 2 both sides we get
$\Rightarrow 3x=10$
We can see the coefficient of x is 3 so dividing LHS and RHS by 3 we get
$\Rightarrow x=\dfrac{10}{3}$
So the solution to $3x-2=8$ is equal to $\dfrac{10}{3}$
Note: We can solve this question by another method that is by graphical method we can draw the graph of y = 3x – 2 and y = 8 , and we can check the intersection point that will be our solution. In this case both the equations are of straight line so there will be one intersection point at x = $\dfrac{10}{3}$ and y = 8 . We know that the given equation is a linear equation which has only one unknown variable, but if a linear equation has n unknown variables, then we will need at least an equation to find the value of all variables.
Complete step-by-step answer:
The equation given in the question is $3x-2=8$ which is a linear equation
Let bring the variable to LHS and constant to LHS we can see – 2 is there in LHS
We can add 2 to both LHS and RHS , so adding 2 both sides we get
$\Rightarrow 3x=10$
We can see the coefficient of x is 3 so dividing LHS and RHS by 3 we get
$\Rightarrow x=\dfrac{10}{3}$
So the solution to $3x-2=8$ is equal to $\dfrac{10}{3}$
Note: We can solve this question by another method that is by graphical method we can draw the graph of y = 3x – 2 and y = 8 , and we can check the intersection point that will be our solution. In this case both the equations are of straight line so there will be one intersection point at x = $\dfrac{10}{3}$ and y = 8 . We know that the given equation is a linear equation which has only one unknown variable, but if a linear equation has n unknown variables, then we will need at least an equation to find the value of all variables.
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