Solve the equation. Check your answer.
-22= -8+ 7y
-30/7 or -4 2/7
-2
2
30/7 or 4 2/7
To solve the equation -22 = -8 + 7y, we need to isolate the variable y.
First, let's move -8 to the right side of the equation by adding 8 to both sides:
-22 + 8 = -8 + 8 + 7y
-14 = 7y
Next, divide both sides by 7 to solve for y:
-14/7 = 7y/7
-2 = y
So, the solution to the equation is y = -2.
To check our answer, we substitute y = -2 back into the original equation:
-22 = -8 + 7(-2)
Simplifying the right side:
-22 = -8 - 14
-22 = -22
Since both sides of the equation are equal, we can confirm that our solution y = -2 is correct.
To solve the equation -22 = -8 + 7y, follow these steps:
Step 1: Combine like terms:
-22 = -8 + 7y
-22 + 8 = 7y
-14 = 7y
Step 2: Divide both sides of the equation by 7 to isolate the variable y:
-14/7 = 7y/7
-2 = y
So the solution to the equation is y = -2.
Now, let's check our answer by substituting y = -2 back into the original equation:
-22 = -8 + 7(-2)
-22 = -8 - 14
-22 = -22
Since the left side of the equation is equal to the right side, this confirms that our solution is correct.
Therefore, the solution to the equation -22 = -8 + 7y is y = -2.
To solve the equation -22 = -8 + 7y, we need to isolate the variable y. Here's how you can do it step by step:
Step 1: Start by getting rid of any constant terms on one side of the equation. In this case, add 8 to both sides:
-22 + 8 = -8 + 7y + 8
-14 = 7y
Step 2: Divide both sides of the equation by the coefficient of y, which is 7, to isolate y:
-14/7 = (7y)/7
-2 = y
So the solution to the equation is y = -2.
To check if this answer is correct, substitute the value of y back into the original equation and see if both sides are equal:
-22 = -8 + 7(-2)
-22 = -8 - 14
-22 = -22
Both sides of the equation are equal, so the solution y = -2 is correct.
Therefore, the correct answer is:
y = -2
Please note that the options provided (30/7 or 4 2/7) are not the correct solutions to the equation.