Question

How do you solve $7x=42$ ?

Answer 1

Hint: We will solve it graphically. We draw the corresponding line by bringing the $42$ on the LHS and equating it to y. We see where this line cuts the x-axis which will be our answer.

Complete step by step answer:
The given equation that we have at this moment is,
$7x=42$
We need to solve the problem using the graphical approach. For this, we need to bring all the terms of the equation to the right-hand side. So, we subtract $42$ from both the sides of the equations. After subtracting, the above equation becomes,
$\Rightarrow 7x-42=0$
To incorporate the graphical method, we need to understand the fact that the expression on the left-hand side of the above equation is that of a straight line. The straight line will be $y=7x-42$ . We need to draw this straight line on graph paper. Now, this equation is of the slope intercept form $y=mx+c$ . Here, the slope $m=7$ and the y-intercept $c=-42$ . So, we draw the line according to the data found.

We have found out that the expression $7x-42$ is equated to zero. But this equation has also been equated to y in order to form an equation. So, in order to satisfy both the conditions, the value of y must be zero in order to satisfy the condition of the problem. Thus, we need to find out where this line cuts the x-axis.
Thus, we conclude that the solution will be $x=6$ .

Note: We need to be careful while drawing the graph. This problem can also be solved in another way. We can directly divide both sides of the equation to get $x=6$ which will be the required answer.