To solve the equation 7(x-8) = 49:
First, distribute the 7 on the left side of the equation:
7x - 56 = 49
Next, isolate the variable by adding 56 to both sides:
7x = 105
Finally, divide both sides by 7 to find the value of x:
x = 15
First, distribute the 7 on the left side of the equation:
7x - 56 = 49
Next, isolate the variable by adding 56 to both sides:
7x = 105
Finally, divide both sides by 7 to find the value of x:
x = 15
Step 1: Distribute the 7 to the terms inside the parentheses:
7 * x - 7 * 8 = 49
This simplifies to:
7x - 56 = 49
Step 2: Add 56 to both sides of the equation to isolate the variable term:
7x - 56 + 56 = 49 + 56
This simplifies to:
7x = 105
Step 3: Divide both sides of the equation by 7 to solve for x:
7x / 7 = 105 / 7
This simplifies to:
x = 15
Therefore, the solution to the equation 7(x - 8) = 49 is x = 15.
Step 1: Distribute the 7 to the terms inside the parentheses.
7 * x = 7x
7 * -8 = -56
The equation becomes:
7x - 56 = 49
Step 2: Add 56 to both sides of the equation to isolate the variable.
7x - 56 + 56 = 49 + 56
7x = 105
Step 3: Divide both sides of the equation by 7 to solve for x.
7x / 7 = 105 / 7
x = 15
Therefore, the solution to the equation 7(x - 8) = 49 is x = 15.
Step 1: Distribute the -3 to the terms inside the parentheses:
-3 * y - 3 * 6 = 21
This simplifies to:
-3y - 18 = 21
Step 2: Add 18 to both sides of the equation to isolate the variable term:
-3y - 18 + 18 = 21 + 18
This simplifies to:
-3y = 39
Step 3: Divide both sides of the equation by -3 to solve for y:
-3y / -3 = 39 / -3
This simplifies to:
y = -13
Therefore, the solution to the equation -3(y + 6) = 21 is y = -13.