Question

Draw the graph of y = 2x/3 – 5 and find the value of x when y = 3.​

Answer 1

To draw the graph, substitute values of x and calculate corresponding values of y. The graph can be drawn by connecting the calculated points. To find x when y = 3, substitute y into the equation and solve for x.

Step-by-step explanation:

To draw the graph of the equation y = 2x/3 - 5, we can start by picking some values for x and then finding the corresponding values of y. Assume x = 0, we can calculate the value of y using the equation:

1. Substitute x = 0 into the equation: y = (2(0))/3 - 5
2. Simplify the equation: y = -5

This gives us one point on the graph: (0, -5).

Next, assume x = 3, we can calculate the value of y:

1. Substitute x = 3 into the equation: y = (2(3))/3 - 5
2. Simplify the equation: y = 1

This gives us another point on the graph: (3, 1). By connecting these two points, we can draw the graph of the equation.

To find the value of x when y = 3, we can substitute y = 3 into the equation and solve for x:

1. Substitute y = 3 into the equation: 3 = 2x/3 - 5
2. Add 5 to both sides of the equation: 8 = 2x/3
3. Multiply both sides of the equation by 3: 24 = 2x
4. Divide both sides of the equation by 2: 12 = x

Therefore, when y = 3, x = 12.

Learn more about Graphing Linear Equations