can you please show the work for this problem 2x-3y=10
pleas help me understand
1)2x-3y = 10
-2x -2x (subtract 2x from both sides to isolate variables)
2)(-1/3)-3y = [10 - 2x](-1/3) Multiply both sides by -1/3 to isolate the y-variable
3) y = 2x/3 - 10/3
This is the slope-intercept form of an equation of a line with slope 2/3 and intercepts the y-axis at (0,-10/3).
Yes 2x-3y=10 is an equation and yes you can solve for x or y as stated by Shannon and Jane; however, I encourage you to represent the equation as a line on a graph. Do this by plotting the solution for y as stated...
y=2/3x - 10/3
Once you have done that, you should be able to see that both expressions,
y=2/3x - 10/3 or x=3/2y + 5
represent the same line, or in other words these two expressions are equivalent.