Answer:
X=2.4
Explanation:
To graph the equation Y = 5x - 2, we can follow these steps:
Step 1: Choose values for x:
- Select a few different values for x, such as -2, -1, 0, 1, and 2.
Step 2: Calculate the corresponding values for y:
- Substitute the chosen values of x into the equation Y = 5x - 2.
- For example, when x = -2, y = 5(-2) - 2 = -12.
Step 3: Plot the points:
- On a graph, plot the points that you calculated in step 2.
- For example, if you calculated the point (-2, -12), mark this point on the graph.
Step 4: Draw a line:
- Connect the plotted points with a straight line.
- The line represents the graph of the equation Y = 5x - 2.
To solve for x in the equation Y = 5x - 2, you can follow these steps:
Step 1: Write the equation:
- Start with the equation Y = 5x - 2.
Step 2: Isolate x:
- Add 2 to both sides of the equation to get rid of the -2 term.
- This gives you Y + 2 = 5x.
Step 3: Simplify the equation:
- Divide both sides of the equation by 5 to isolate x.
- The equation becomes (Y + 2) / 5 = x.
Step 4: Understand the solution:
- The solution x = (Y + 2) / 5 means that any value of Y you substitute into the equation will give you a corresponding value of x.
For example, if Y = 10, you can substitute it into the equation to find x:
- x = (10 + 2) / 5
- x = 12 / 5
- x = 2.4
Therefore, when Y = 10, x is equal to 2.4.