5x + 10 =10y solve for y
does y= 5x/10 + 1
10y = 5x + 10
y = (5x + 10)/10
y = 5x/10 + 10/10
y = 1/2 x + 1
To solve for y in the equation 5x + 10 = 10y, follow these steps:
Step 1: Start with the given equation: 5x + 10 = 10y.
Step 2: Divide both sides of the equation by 10 to isolate y:
(5x + 10) / 10 = 10y / 10.
Simplifying this equation gives: (5/10)x + 10/10 = y.
Reducing the fractions further gives: (1/2)x + 1 = y.
So, the solution for y is y = (1/2)x + 1.
To solve for y in the equation 5x + 10 = 10y, we'll follow these steps:
Step 1: Start by isolating the variable term.
Subtract 10 from both sides of the equation:
5x + 10 - 10 = 10y - 10
5x = 10y - 10
Step 2: Next, divide both sides of the equation by 10.
Divide both sides by 10:
(5x)/10 = (10y - 10)/10
x/2 = y - 1
Step 3: Finally, we'll rearrange the equation to solve for y.
Add 1 to both sides of the equation:
(x/2) + 1 = y - 1 + 1
(x/2) + 1 = y
So, the solution for y in terms of x is y = (x/2) + 1.
Checking your statement, y = 5x/10 + 1
y = x/2 + 1
Yes, y = (x/2) + 1 is equivalent to y = 5x/10 + 1.