1. 5h - 9 = -16 + 6h
2. 4x + 4 = 9x - 36
5h - 9 = -16 + 6h
16 - 9 = 6h - 5h
7 = h
Follow that pattern and try the second problem. I'll be glad to check your answer.
I give up. Is the answer -3?
No.
Combine like terms.
9x - 4x = ?
4 + 36 = ?
To solve these equations, we will use basic algebraic principles to isolate the variable on one side of the equation.
1. 5h - 9 = -16 + 6h
To isolate h, we need to get rid of the h term on the right side of the equation. We can do this by subtracting 6h from both sides of the equation:
5h - 6h - 9 = -16 + 6h - 6h
Simplifying the equation gives:
-h - 9 = -16
Now, let's isolate h by getting rid of the constant term on the left side of the equation. We can do this by adding 9 to both sides:
-h - 9 + 9 = -16 + 9
Simplifying further:
-h = -7
To solve for h, we need to get rid of the negative sign in front of h. We can do this by multiplying both sides of the equation by -1:
(-1)(-h) = (-1)(-7)
Simplifying gives:
h = 7
So the solution to the equation is h = 7.
2. 4x + 4 = 9x - 36
To isolate x, we need to get rid of the x term on the right side of the equation. We can do this by subtracting 9x from both sides of the equation:
4x - 9x + 4 = 9x - 9x - 36
Simplifying the equation gives:
-5x + 4 = -36
Now, let's isolate x by getting rid of the constant term on the right side of the equation. We can do this by subtracting 4 from both sides:
-5x + 4 - 4 = -36 - 4
Simplifying further:
-5x = -40
To solve for x, we need to get rid of the coefficient -5 in front of x. We can do this by dividing both sides of the equation by -5:
(-5x)/(-5) = (-40)/(-5)
Simplifying gives:
x = 8
So the solution to the equation is x = 8.