Question

Jasim wants to solve the equation 3x = 12. How could he use graphs to solve this equation?

Drag statements into order to complete an explanation.

Answer 1

3x=12

divide boths by the coefficient of x

and x= 4

Answer 2

Graph the expression
`\(y = 12\)` (c), look for intersection points on the x-axis (a), identify all points of intersection (d), and recognize that solutions are the x-coordinates of these points (e).

To solve the equation
`\(3x = 12\)` using graphs, Jasim can follow these steps:

First, he needs to graph the curve that models the expression on the right side of the equation, in this case,
`\(y = 12\)`. This is a horizontal line parallel to the x-axis at y = 12. This is step c.

Next, he should look for where this graph intersects each axis. The intersection points with the x-axis are the solutions to the equation. This is step a.

Solutions to the equation are the x-coordinates of points of intersection. Therefore, Jasim should identify all points of intersection of the two graphs, which involves finding where the line
`\(y = 12\)` crosses the x-axis. This is step d.

The solutions to the equation are precisely the x-coordinates of these points of intersection. Hence, Jasim should note that solutions to the equation are the points where the graphs intersect the axes. This is step e.

In summary, Jasim can solve the equation graphically by graphing the expression
`\(y = 12\)`, identifying the points of intersection with the x-axis, and recognizing that the x-coordinates of these points are the solutions to the equation.