(1/2)X - (1/2)Y = 4
1. Slove for X
2. Slove for Y
not just an answer please
(1/2)X - (1/2)Y = 4 Multiply both sides by 2
x - y = 8
x = 8 + y
y = 8 + x
x = y+8
but
y = x-8
To solve for X and Y in the given equation (1/2)X - (1/2)Y = 4, we'll go through the following steps:
Step 1: Multiply every term by 2 to eliminate the fractions:
2 * (1/2)X - 2 * (1/2)Y = 2 * 4
This simplifies to:
X - Y = 8
Step 2: Solve for X:
To isolate X, we need to eliminate the Y term from the equation. We can do this by adding Y to both sides:
X - Y + Y = 8 + Y
This simplifies to:
X = 8 + Y
So, the equation for X is X = 8 + Y.
Step 3: Solve for Y:
Similarly, to isolate Y, we need to eliminate the X term from the equation. We can do this by adding X to both sides:
X + X - Y = 8 + Y + X
This simplifies to:
2X - Y = 8 + Y + X
Now, let's move the Y term to the other side of the equation by adding Y to both sides:
2X - Y + Y = 8 + Y + X + Y
This simplifies to:
2X = 8 + 2Y
Next, divide every term by 2 to solve for X:
(2X) / 2 = (8 + 2Y) / 2
This simplifies to:
X = (8 + 2Y) / 2
Now, simplify the right side of the equation:
X = (8/2) + (2Y/2)
This further simplifies to:
X = 4 + Y
So, the equation for Y is Y = 4 + X.
To summarize:
1. X = 8 + Y
2. Y = 4 + X
These are the solutions for X and Y in the given equation.