Question

The point (s, 6) lies on the line 3y−2x=5 . Find the value of s .

Answer 1

s = 6.5

Explanation:

Points on a line can be found by plugging in values and solving for different variables.

Solving for s

The question tells us that there is some point on this line that has a y-value of 6. In the coordinate pair, s represents the x-value. So, we need to find the x-value when y = 6. To do this, we need to plug 6 into the equation and solve for x.

• 3(6) - 2x = 5
• 18 - 2x = 5

Then, we can subtract 18 from both sides.

• -2x = -13

Finally, divide by -2.

• x = 6.5

This means that when y = 6, x = 6.5. Thus, the value of s is 6.5.

Graphing the Line

Another way to find the value of s is to graph the equation. Then, find where on the line y = 6. On the graph, you can see that when y = 6, x = 6.5. This once again shows that s = 6.5.