Final answer:
To write each equation in standard form, rearrange the equations so that the x and y terms are on the same side and the constant term is on the opposite side.
Step-by-step explanation:
To write each equation in standard form, we need to rearrange the equations so that the x and y terms are on the same side of the equation and the constant term is on the opposite side. Let's go through each equation:
- Start with y = (-2/5)x + 1/10. Multiply through by 10 to get rid of the fraction: 10y = -4x + 1. Rearrange the terms to get 4x + 10y = 1.
- Start with 4y = (2/3)x + 6. Multiply through by 3 to get rid of the fraction: 12y = 2x + 18. Rearrange the terms to get 2x - 12y = -18.
So, the equations in standard form are: 4x + 10y = 1 and 2x - 12y = -18.