x=3y+2
The equation x = 3y + 2 represents a linear relationship between the variables x and y. To better understand how to find values for x and y, we need more information.
If you have a specific value for y, you can substitute it into the equation to solve for x. Conversely, if you have a value for x, you can rearrange the equation to solve for y.
Let's go through an example:
If we have y = 4, we can substitute this value into the equation:
x = 3(4) + 2
x = 12 + 2
x = 14
So, when y = 4, x will equal 14.
On the other hand, if we have a specific x value, we can rearrange the equation:
x = 3y + 2
To isolate y, subtract 2 from both sides:
x - 2 = 3y
Divide both sides by 3:
(x - 2) / 3 = y
So, if we have a value for x, we can use this equation to find the corresponding value for y.
It's important to note that this equation represents a straight line on a graph, where the value of y is determined by the value of x according to the equation. Plotting multiple points on this line will help visualize the relationship between x and y.