Answer:
(10, 15)
Step-by-step explanation:
To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.
x-intercept occurs at y = 0
If y = 0
2(0)+3x =10
3x =10
x = 10/3
x = 1.33
y-intercept occurs at x = 0
If x = 0
2y+3(0) =10
2y =10
y = 10/2
y = 5
Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)
Hence the required coordinate is (10, 15)
