i need help solving the following:
10h = 8h + 6
and
6x + 2 = 3x - 1
on the first, subtract 8h from both sides.
On the second, start by subtracting 3x from both sides, then subtract 2 from both sides.
combine the like terms, making 2h=6. then simplify and you get h=3.
once again, combine like terms, and you have 3x+2=-1. simplify. 3x=-3. simplify. x=-1
on the first subtract 8h from both sides, then divide both sides by 2 and you get h=3.
on the second subtract 3x from both sides, then subtract 2 from both sides then divide both sides by 3 and you get -2/3.
To solve the equation 10h = 8h + 6, you will follow these steps:
Step 1: Begin by simplifying both sides of the equation. On the right side, there is only one term, so it remains the same. On the left side, combine like terms by subtracting 8h from 10h. This will give you:
2h = 6
Step 2: To isolate the variable h, divide both sides of the equation by 2:
2h/2 = 6/2
Simplifying further:
h = 3
So the solution to the equation 10h = 8h + 6 is h = 3.
Moving on to the second equation, 6x + 2 = 3x - 1, the steps to solve it are as follows:
Step 1: Begin by simplifying both sides of the equation. On the right side, there are two terms, so combine like terms by subtracting 3x from 6x. This will give you:
3x + 2 = -1
Step 2: To isolate the variable x, you need to get rid of the constant term on the left side. Subtract 2 from both sides of the equation:
3x + 2 - 2 = -1 - 2
Simplifying further:
3x = -3
Step 3: Finally, divide both sides of the equation by 3 to solve for x:
(3x)/3 = -3/3
Simplifying further:
x = -1
So the solution to the equation 6x + 2 = 3x - 1 is x = -1.