Solve each literal equation for the indicated variable.
4x-5y=10 for y (the answer is y=4/5x-2) How do you solve this?
4x-5y=10
First subtract 4x from both sides, which will give you -5y = -4x+ 10.
Next, divide both sides by -5 as follows:
-5y/-5 = -4x/-5 + 10/-5
You will get: y = 4/5(x) - 2
P#4s (for s
)
To solve the given equation for y, you need to isolate y on one side of the equation. Here's how you can do it step by step:
1. Start with the equation: 4x - 5y = 10.
2. First, subtract 4x from both sides of the equation to eliminate the x term. This gives you: -5y = -4x + 10.
3. Next, divide both sides of the equation by -5 to isolate y. This yields: y = (-4x + 10) / -5.
4. Simplify the right-hand side of the equation by distributing the division across the terms inside the parentheses: y = -4x / -5 + 10 / -5.
5. Simplify further: y = (4/5)x - 2.
Hence, the solution to the equation 4x - 5y = 10 for y is y = (4/5)x - 2.