Answer:
Explanation:
To write a formula for h(x) in terms of x based on the equation 6x + y = 4x + 11y, you need to isolate y on one side of the equation. Here's how you can do it step by step:
Start with the equation: 6x + y = 4x + 11y.
First, move all the terms containing y to one side of the equation by subtracting 11y from both sides:
6x + y - 11y = 4x.
Combine like terms on the left side of the equation:
6x - 10y = 4x.
Next, move the term with 4x to the left side by subtracting 4x from both sides:
6x - 4x - 10y = 0.
Combine like terms on the left side of the equation:
2x - 10y = 0.
Now, isolate y by adding 10y to both sides:
2x = 10y.
Finally, divide both sides by 10 to solve for y:
y = (2/10)x.
Now, you have y in terms of x:
y = (1/5)x.
So, the formula for h(x) in terms of x is:
h(x) = (1/5)x.